Artikel Matematika kelas 8 ini menjelaskan tentang cara menentukan persamaan garis lurus serta cara menggambar grafik dari persamaan garis lurus. Selain itu, ada juga beberapa contoh soal untuk meningkatkan pemahaman kamu terhadap materi.
—
“Bang, permen seribu dapet berapa?”
“Empat biji, dek”
“Perasaan kemarin seribu dapet lima, bang. Kok naik? Sekarang, dua ribu berapa?”
“Ya delapan lah, dek”
“Bukannya sekarang dua ribu dua enam, yak? Hiya… hiya… hiya…!”
“Udah bawel, garing lagi!” (sumber: tenor.com)
Pernah nggak sih kamu ngalamin hal itu? Bukan ngerjain abang-abang tukang jualan, ya. Tapi ngerasain yang namanya kenaikan harga barang.
Perasaan, beberapa waktu yang lalu, beli permen seribu bisa dapet lima. Sekarang, udah naik aja harganya. Jadi cuma dapat empat, deh.
Sebenarnya, kenaikan harga barang itu hal yang biasa lho karena harga bahan baku semakin lama juga akan semakin mahal. Ya… sisi positifnya sih uang jajan kamu kan jadi bakal bertambah. Tadinya cuma 5.000 sehari, sekarang bisa 10.000, deh. Lumayan, tuh!
Oke, coba kita buat grafik dari masalah kenaikan harga permen tersebut ke dalam bidang Kartesius. Kita misalkan saja harga permen sebagai variabel y dan tahun sebagai variabel x.
Kemudian, kita pilih selang tahun antara 2011-2019. Kita perkirakan harga permen di tahun 2011 seharga Rp150/buah dan setiap dua tahun sekali, harga permen meningkat secara tetap sebesar Rp25/buah.
Jadi, kalo di tahun 2011 itu harga permen 150/buah, maka di tahun 2012 jadi 175/buah, setiap tahun selalu naik hingga mencapai harga Rp250/buah di tahun 2019.
Baca Juga: Cara Menyelesaikan Sistem Persamaan Linear Dua Variabel
Nah, hasil grafiknya akan seperti ini.
Ternyata, kurva yang terbentuk adalah linear (berbentuk garis lurus). Berdasarkan kurva tersebut, kamu bisa menentukan persamaan garis lurusnya, lho. Mau tau gimana caranya? Kuy, langsung aja disimak!
Mengenal Persamaan Garis Lurus
Sebelumnya, kita ketahui dulu yuk apa itu persamaan garis lurus. Persamaan garis lurus adalah persamaan yang membentuk garis lurus saat digambarkan dalam bidang Kartesius. Bentuk umum persamaan garis lurus adalah sebagai berikut:
Baca Juga: Cara Mencari Kemiringan (Gradien) pada Garis Lurus
Di sini, kamu harus ingat ya, namanya bentuk umum itu bukan berarti persamaan garis lurusnya akan selalu berbentuk seperti gambar di atas.
Tapi, secara umum, bentuknya akan memiliki dua variabel yang masing-masing variabelnya punya pangkat (orde) tertinggi satu. Contohnya, 2x + y = 4, 3y = x – 6, x + y – 2 = 0, dan masih banyak lagi. Bisa kamu lihat ya kalo variabel x dan variabel y itu pangkatnya satu.
Ada dua hal yang perlu diperhatikan saat ingin membuat persamaan garis lurus. Pertama, kamu harus tahu nilai gradien dari garis tersebut dan kedua, kamu harus tahu sedikitnya satu titik yang dilalui garis itu.
Berikut ini merupakan dua kondisi yang dapat dicari tahu bentuk persamaan garis lurusnya. Hmm… kira-kira, grafik di atas termasuk kondisi yang mana, ya?
1. Jika diketahui gradien dan satu titik yang dilalui garis
Misalnya, suatu garis melalui sebuah titik, yaitu (x1, y1). Kamu dapat menentukan persamaan garis lurusnya dengan rumus:
Contoh:
Tentukan persamaan garis yang bergradien 3 dan melalui titik (-2,-3)!
Penyelesaian:
Diketahui m = 3 dan (x1, y1) = (-2,-3). Sehingga,
Jadi, persamaan garis lurusnya adalah y = 3x + 3.
2. Jika diketahui dua titik yang dilalui garis
Misalnya, suatu garis melalui dua buah titik, yaitu (x1, y1) dan (x2, y2). Kamu bisa menggunakan rumus di bawah ini untuk mengetahui persamaan garisnya.
Ternyata, kalau kamu perhatikan, kondisi ini cocok untuk mencari persamaan garis lurus dari grafik kenaikan harga permen di atas. Coba yuk kita cari tahu persamaan garis lurusnya bersama-sama.
Pada gambar grafik kenaikan harga permen, diketahui kalau garis melalui beberapa titik. Misalnya, kita pilih dua titik dari beberapa titik tersebut, yaitu (x1, y1) = (2011, 150) dan (x2, y2) = (2019, 250). Sehingga,
Jadi, persamaan garis lurus dari grafik kenaikan harga permen di atas adalah 8y = 100x – 199900.
Paham, ya?
Nah, sekarang kamu sudah mengetahui cara menentukan persamaan garis lurus dari dua buah kondisi yang diketahui, ya. Lalu, bagaimana jika kamu diminta untuk menggambarkan grafik dari suatu persamaan garis lurus? Yuk, simak langkah-langkahnya di bawah ini!
Baca Juga: Macam-Macam Ukuran Pemusatan Data: Mean, Median, Modus
—
Gimana? Apakah kamu sudah mulai paham dengan materi persamaan garis lurus? Kalo masih ada poin-poin yang belum kamu mengerti, mending belajar sama ahlinya, deh. Belajar bareng kakak-kakak pengajar di Ruangguru Privat Matematika misalnya.
Belajar nggak cuma menyenangkan, tapi kamu juga bakal diajari konsepnya sampai paham! Para pengajar di Ruangguru Privat juga sudah terstandarisasi kualitasnya, loh. Kamu juga bisa pilih nih, mau diajarkan secara langsung (offline) atau daring (online). Fleksibel, kan? Untuk info lebih lanjut, cuss klik link berikut!
Cara Menggambar Grafik dari Persamaan Garis Lurus
Terdapat tiga langkah dalam membuat grafik dari persamaan garis lurus. Supaya kamu lebih mudah memahami, kita langsung masuk ke contoh soalnya aja ya.
Contoh Soal:
Gambarlah grafik dari persamaan garis lurus y = 3x – 9!
Pembahasan:
1. Cari titik potong di sumbu x
Cara mencari titik potong pada sumbu-x adalah dengan membuat variabel y menjadi 0.
Jadi, saat y = 0, nilai x yang dihasilkan adalah 3. Sehingga, diperoleh titik potong di sumbu-x adalah (3,0).
2. Cari titik potong di sumbu y
Tidak jauh berbeda dengan cara mencari titik potong pada sumbu-x, untuk mencari titik potong di sumbu-y, kita harus mengganti variabel x menjadi 0.
Jadi, saat x = 0, nilai y yang dihasilkan adalah -9. Sehingga, diperoleh titik potong di sumbu-y adalah (0,-9).
3. Gambar garis yang menghubungkan titik potong tersebut
Setelah diperoleh dua buah titik potongnya, kita bisa tarik garis lurus yang menghubungkan kedua titik potong tersebut. Sehingga, hasilnya akan seperti ini.
Gimana? Mudah kan caranya. Oh iya, untuk lebih memudahkan kamu dalam mengerjakan soal-soal yang berkaitan dengan persamaan garis lurus, artikel ini sudah merangkum rumus-rumus di atas tadi, lho! Spesial buat kamu. Ehe~
Yo! Apa tanggapan kamu setelah membaca artikel ini? Semoga segala kebingungan kamu terhadap materi persamaan garis bisa berkurang, ya.
Sekilas informasi aja nih, materi persamaan garis lurus ini puenting banget untuk dipahami. Kenapa? karena soalnya sering sekali keluar di ujian, loh.
Nah, kalau kamu merasa artikel ini kurang lengkap, kamu bisa tonton penjelasan lebih lengkapnya lagi di ruangbelajar. Belajar jadi lebih menyenangkan dengan video belajar beranimasi.
Referensi:
As’ari A.R, Tohir M, Valentino E, Imron Z, Taufiq I. (2017) Matematika SMP/MTs Kelas VIII Semester 1. Jakarta: Kementerian Pendidikan dan Kebudayaan
Sumber Foto:
GIF ‘Orang Marah’ [Daring]. Tautan: https://tenor.com/view/glare-scowl-annoyed-ronswanson-parksandrec-gif-4601682 (Diakses: 23 Desember 2020).
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<h1 class="content-title">
Cara Menentukan Persamaan Garis Lurus dan Contohnya | Matematika Kelas 8 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/hani-ammariah" class="">Hani Ammariah</a> </p>
<p class="content-info"><span>February 23, 2026 • </span> <span>6 minutes read</span></p>
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<p><em><img decoding="async" style="width: 1709px;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Cara%20Menentukan%20Persamaan%20Garis%20Lurus%20-%20Matematika%20Kelas%208-02.jpg" alt="Persamaan Garis Lurus" /></em></p>
<blockquote>
<p style="font-size: 16px; text-align: center;"><em><strong><a href="https://www.ruangguru.com/blog/c/matematika/matematika-smp-kelas-8">Artikel Matematika kelas 8</a></strong> ini menjelaskan tentang <strong>cara menentukan persamaan garis lurus</strong> serta cara menggambar grafik dari persamaan garis lurus. Selain itu, ada juga beberapa contoh soal untuk meningkatkan pemahaman kamu terhadap materi.</em></p>
</blockquote>
<p style="text-align: center;"><em>—</em></p>
<p> </p>
<p>“Bang, permen seribu dapet berapa?”</p>
<p>“Empat biji, dek”</p>
<p>“Perasaan kemarin seribu dapet lima, bang. Kok naik? Sekarang, dua ribu berapa?”</p>
<p>“Ya delapan lah, dek”</p>
<p>“Bukannya sekarang dua ribu dua enam, yak? Hiya… hiya… hiya…!”</p>
<p><img decoding="async" style="width: 330px; display: block; margin: 0px auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/giphy%20(22).gif" alt="giphy (22)" width="330" /></p>
<p style="text-align: center;"><em>“Udah bawel, garing lagi!” (sumber: tenor.com)</em></p>
<p> </p>
<p style="text-align: justify;">Pernah<em> nggak sih</em> kamu ngalamin hal itu? Bukan ngerjain abang-abang tukang jualan, ya. Tapi ngerasain yang namanya kenaikan harga barang.</p>
<p style="text-align: justify;">Perasaan, beberapa waktu yang lalu, beli permen seribu bisa dapet lima. Sekarang, udah naik aja harganya. Jadi cuma dapat empat, <em>deh</em>.</p>
<p style="text-align: justify;">Sebenarnya, kenaikan harga barang itu hal yang biasa <em>lho</em> karena harga bahan baku semakin lama juga akan semakin mahal. Ya… sisi positifnya <em>sih</em> uang jajan kamu <em>kan</em> jadi bakal bertambah. Tadinya cuma 5.000 sehari, sekarang bisa 10.000, <em>deh</em>. Lumayan, <em>tuh</em>!</p>
<p style="text-align: justify;">Oke, coba kita buat grafik dari masalah kenaikan harga permen tersebut ke dalam bidang Kartesius. Kita misalkan saja <strong>harga permen sebagai variabel y</strong> dan <strong>tahun sebagai variabel x</strong>.</p>
<p style="text-align: justify;">Kemudian, kita pilih selang tahun antara 2011-2019. Kita perkirakan harga permen di tahun 2011 seharga Rp150/buah dan setiap dua tahun sekali, <strong>harga permen meningkat secara tetap sebesar Rp25/buah</strong><span style="font-weight: normal;">. </span></p>
<p style="text-align: justify;"><span style="font-weight: normal;">Jadi, kalo di tahun 2011 itu harga permen 150/buah, maka di tahun 2012 jadi 175/buah, setiap tahun selalu naik</span> hingga mencapai harga Rp250/buah di tahun 2019.</p>
<p><strong>Baca Juga: <a href="/blog/matematika-kelas-8-cara-menyelesaikan-sistem-persamaan-linear-dua-variabel-spldv" rel="noopener">Cara Menyelesaikan Sistem Persamaan Linear Dua Variabel</a></strong></p>
<p style="text-align: justify;"><em>Nah</em>, hasil grafiknya akan seperti ini.</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Cara%20Menentukan%20Persamaan%20Garis%20Lurus%20-%20Matematika%20Kelas%208-03.jpg" alt="Cara Menentukan Persamaan Garis Lurus" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Ternyata, kurva yang terbentuk adalah linear (berbentuk garis lurus). Berdasarkan kurva tersebut, kamu bisa menentukan persamaan garis lurusnya, <em>lho</em>. Mau tau gimana caranya? <em>Kuy</em>, langsung aja disimak!</p>
<p> </p>
<h2><span style="font-size: 18pt;">Mengenal Persamaan Garis Lurus</span></h2>
<p style="text-align: justify;">Sebelumnya, kita ketahui dulu <em>yuk</em> apa itu persamaan garis lurus. <strong>Persamaan garis lurus</strong> adalah persamaan yang membentuk garis lurus saat digambarkan dalam bidang Kartesius. <span style="font-weight: bold;">Bentuk umum persamaan garis lurus</span> adalah sebagai berikut:</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Cara%20Menentukan%20Persamaan%20Garis%20Lurus%20-%20Matematika%20Kelas%208-04.jpg" alt="Bentuk Umum Persamaan Garis Lurus" width="600" /></p>
<p><strong>Baca Juga: <a href="/blog/matematika-kelas-8-3-cara-mencari-kemiringan-garis-lurus" rel="noopener">Cara Mencari Kemiringan (Gradien) pada Garis Lurus</a></strong></p>
<p> </p>
<p style="text-align: justify;">Di sini, kamu harus ingat ya, namanya bentuk umum itu bukan berarti persamaan garis lurusnya akan selalu berbentuk seperti gambar di atas.</p>
<p style="text-align: justify;">Tapi, secara umum, bentuknya akan <strong>memiliki dua variabel yang masing-masing variabelnya punya pangkat (orde) tertinggi satu</strong>. Contohnya, <strong>2<span style="color: #ff0201;">x</span> + <span style="color: #ff9902;">y</span> = 4</strong>, <strong>3<span style="color: #ff9902;">y</span> = <span style="color: #ff0201;">x</span> – 6</strong>, <strong><span style="color: #ff0201;">x</span> + <span style="color: #ff9902;">y</span> – 2 = 0</strong>, dan masih banyak lagi. Bisa kamu lihat ya kalo variabel x dan variabel y itu pangkatnya satu.</p>
<p> </p>
<h2><span style="font-size: 18pt;">Cara Menentukan Persamaan Garis Lurus</span></h2>
<p style="text-align: justify;"><strong>Ada dua hal yang perlu diperhatikan saat ingin membuat persamaan garis lurus</strong>. Pertama, kamu harus <strong>tahu <a href="/blog/matematika-kelas-8-3-cara-mencari-kemiringan-garis-lurus" rel="noopener">nilai gradien </a></strong>dari garis tersebut dan kedua, kamu harus <strong>tahu sedikitnya satu titik yang dilalui garis</strong> itu.</p>
<p style="text-align: justify;">Berikut ini merupakan dua kondisi yang dapat dicari tahu bentuk persamaan garis lurusnya. <em>Hmm</em>… kira-kira, grafik di atas termasuk kondisi yang mana, ya?</p>
<p> </p>
<h3><span style="font-size: 14pt;">1. Jika diketahui gradien dan satu titik yang dilalui garis</span></h3>
<p style="text-align: justify;">Misalnya, suatu garis melalui sebuah titik, yaitu (x<sub>1</sub>, y<sub>1</sub>). Kamu dapat menentukan persamaan garis lurusnya dengan rumus:</p>
<p style="text-align: center;"><img decoding="async" style="width: 162px; margin: 0px auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/garis%20lurus%2014.png" alt="rumus mencari persamaan garis lurus gradien" width="162" /></p>
<p> </p>
<p><strong>Contoh:</strong></p>
<p>Tentukan persamaan garis yang bergradien 3 dan melalui titik (-2,-3)!</p>
<p><strong>Penyelesaian:</strong></p>
<p>Diketahui m = 3 dan (x<sub>1</sub>, y<sub>1</sub>) = (-2,-3). Sehingga,</p>
<p><img decoding="async" style="width: 400px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/contoh%20soal%20persamaan%20garis%20lurus%203.png" alt="contoh soal persamaan garis lurus 3" width="400" /></p>
<p> </p>
<p>Jadi, persamaan garis lurusnya adalah <strong>y = 3x + 3</strong>.</p>
<p> </p>
<h3><span style="font-size: 14pt;">2. Jika diketahui dua titik yang dilalui garis</span></h3>
<p style="text-align: justify;">Misalnya, suatu garis melalui dua buah titik, yaitu (x<sub>1</sub>, y<sub>1</sub>) dan (x<sub>2</sub>, y<sub>2</sub>). Kamu bisa menggunakan rumus di bawah ini untuk mengetahui persamaan garisnya.</p>
<p><img decoding="async" style="width: 152px; display: block; margin: 0px auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/garis%20lurus%2015.png" alt="mencari persamaan garis lurus gradien" width="152" /></p>
<p> </p>
<p style="text-align: justify;">Ternyata, kalau kamu perhatikan, kondisi ini cocok untuk mencari persamaan garis lurus dari grafik kenaikan harga permen di atas. Coba <em>yuk</em> kita cari tahu persamaan garis lurusnya bersama-sama.</p>
<p style="text-align: justify;">Pada gambar grafik kenaikan harga permen, diketahui kalau garis melalui beberapa titik. Misalnya, kita pilih dua titik dari beberapa titik tersebut, yaitu (x<sub>1</sub>, y<sub>1</sub>) = (2011, 150) dan (x<sub>2</sub>, y<sub>2</sub>) = (2019, 250). Sehingga,</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/contoh%20soal%20persamaan%20garis%20lurus%202.png" alt="contoh soal persamaan garis lurus 2" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Jadi, persamaan garis lurus dari grafik kenaikan harga permen di atas adalah <strong>8y = 100x – 199900</strong>.</p>
<p style="text-align: justify;">Paham, ya?</p>
<p style="text-align: justify;"><em>Nah</em>, sekarang kamu sudah mengetahui cara menentukan persamaan garis lurus dari dua buah kondisi yang diketahui, ya. Lalu, bagaimana jika kamu diminta untuk menggambarkan grafik dari suatu persamaan garis lurus? <em>Yuk</em>, simak langkah-langkahnya di bawah ini!</p>
<p><strong>Baca Juga: <a href="/blog/menghitung-ukuran-pemusatan-data-mean-median-dan-modus" rel="noopener">Macam-Macam Ukuran Pemusatan Data: Mean, Median, Modus</a></strong></p>
<p style="text-align: center;">—</p>
<p style="text-align: justify;">Gimana? Apakah kamu sudah mulai paham dengan materi persamaan garis lurus? Kalo masih ada poin-poin yang belum kamu mengerti, mending belajar sama ahlinya, deh. Belajar bareng kakak-kakak pengajar di <a href="https://www.ruangguru.com/privat/matematika"><strong>Ruangguru Privat Matematika</strong></a> misalnya.</p>
<p style="text-align: justify;">Belajar nggak cuma menyenangkan, tapi kamu juga bakal diajari konsepnya sampai paham! Para pengajar di Ruangguru Privat juga sudah terstandarisasi kualitasnya, loh. Kamu juga bisa pilih nih, mau diajarkan secara langsung (<em>offline</em>) atau daring (<em>online</em>). Fleksibel, kan? Untuk info lebih lanjut, cuss klik link berikut!</p>
<p><a href="https://cta.ruangguru.com/blog-rg-10-privat-b"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/84b6f2c7-9c9c-480d-a218-7961334af9ce.png" alt="CTA Ruangguru Privat" /></a></p>
<p> </p>
<h2><span style="font-size: 18pt;">Cara Menggambar Grafik dari Persamaan Garis Lurus</span></h2>
<p style="text-align: justify;">Terdapat tiga langkah dalam membuat grafik dari persamaan garis lurus. Supaya kamu lebih mudah memahami, kita langsung masuk ke contoh soalnya aja ya.</p>
<p><strong>Contoh Soal:</strong></p>
<p>Gambarlah grafik dari persamaan garis lurus y = 3x – 9!</p>
<p><strong>Pembahasan:</strong></p>
<h3><span style="font-size: 14pt;">1. Cari titik potong di sumbu x</span></h3>
<p>Cara mencari titik potong pada sumbu-x adalah dengan <strong>membuat variabel y menjadi 0</strong>.</p>
<p><img decoding="async" style="width: 500px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/contoh%20soal%20persamaan%20garis%20lurus.png" alt="contoh soal persamaan garis lurus" width="500" /></p>
<p> </p>
<p style="text-align: justify;">Jadi, saat y = 0, nilai x yang dihasilkan adalah 3. Sehingga, diperoleh <strong>titik potong di sumbu-x</strong> adalah <strong>(3,0)</strong>.</p>
<p><img decoding="async" style="width: 300px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/08MAT%20-%20PERSAMAAN%20GARIS%20LURUS-06.png" alt="08MAT - PERSAMAAN GARIS LURUS-06" width="300" /></p>
<p> </p>
<h3><span style="font-size: 14pt;">2. Cari titik potong di sumbu y</span></h3>
<p style="text-align: justify;">Tidak jauh berbeda dengan cara mencari titik potong pada sumbu-x, untuk mencari titik potong di sumbu-y, kita harus <strong>mengganti variabel x menjadi 0</strong>.</p>
<p><img decoding="async" style="width: 361px; display: block; margin: 0px auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/garis%20lurus%2017.png" alt="mencari persamaan garis lurus gradien" width="361" /></p>
<p> </p>
<p style="text-align: justify;">Jadi, saat x = 0, nilai y yang dihasilkan adalah -9. Sehingga, diperoleh <strong>titik potong di sumbu-y</strong> adalah <strong>(0,-9)</strong>.</p>
<p><img decoding="async" style="width: 300px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/08MAT%20-%20PERSAMAAN%20GARIS%20LURUS-07.png" alt="08MAT - PERSAMAAN GARIS LURUS-07" width="300" /></p>
<p> </p>
<h3><span style="font-size: 14pt;">3. Gambar garis yang menghubungkan titik potong tersebut</span></h3>
<p style="text-align: justify;">Setelah diperoleh dua buah titik potongnya, kita bisa tarik garis lurus yang menghubungkan kedua titik potong tersebut. Sehingga, hasilnya akan seperti ini.</p>
<p><img decoding="async" style="width: 300px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/08MAT%20-%20PERSAMAAN%20GARIS%20LURUS-08.png" alt="08MAT - PERSAMAAN GARIS LURUS-08" width="300" /></p>
<p> </p>
<p style="text-align: justify;">Gimana? Mudah <em>kan</em> caranya. Oh iya, untuk lebih memudahkan kamu dalam mengerjakan soal-soal yang berkaitan dengan persamaan garis lurus, artikel ini sudah merangkum rumus-rumus di atas tadi,<em> lho</em>! Spesial buat kamu. <em>Ehe</em>~</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Cara%20Menentukan%20Persamaan%20Garis%20Lurus%20-%20Matematika%20Kelas%208-05.jpg" alt="Rumus Persamaan Garis Lurus" width="600" /></p>
<p> </p>
<p style="text-align: justify;"><em>Yo</em>! Apa tanggapan kamu setelah membaca artikel ini? Semoga segala kebingungan kamu terhadap materi persamaan garis bisa berkurang, ya.</p>
<p style="text-align: justify;">Sekilas informasi aja <em>nih</em>, materi persamaan garis lurus ini <em>puenting</em> banget untuk dipahami. Kenapa? karena soalnya sering sekali keluar di ujian, <em>loh</em>.</p>
<p style="text-align: justify;"><em>Nah</em>, kalau kamu merasa artikel ini kurang lengkap, kamu bisa tonton penjelasan lebih lengkapnya lagi di <strong><a href="https://www.ruangguru.com/ruangbelajar" target="_blank" rel="noopener">ruangbelajar</a></strong>. Belajar jadi lebih menyenangkan dengan video belajar beranimasi.</p>
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<p style="text-align: left;"><strong>Referensi:</strong></p>
<p style="text-align: left;">As’ari A.R, Tohir M, Valentino E, Imron Z, Taufiq I. (2017) Matematika SMP/MTs Kelas VIII Semester 1. Jakarta: Kementerian Pendidikan dan Kebudayaan</p>
<p style="text-align: left;"><strong>Sumber Foto:</strong></p>
<p style="text-align: left;">GIF ‘Orang Marah’ [Daring]. Tautan: https://tenor.com/view/glare-scowl-annoyed-ronswanson-parksandrec-gif-4601682 (Diakses: 23 Desember 2020).</p>
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<h5 class="author-title">Hani Ammariah</h5>
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<a target="_blank" rel="nofollow" href="https://play.google.com/store/apps/details?id=com.ruangguru.livestudents&hl=in">
<img src="https://cdn-web-2.ruangguru.com/static/googleplay.png" loading="lazy" alt="Button Google Play Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://appgallery.huawei.com/#/app/C102352375">
<img src="https://cdn-web-2.ruangguru.com/static/huawei.png" loading="lazy" alt="Button AppGallery Footer " />
</a>
</li>
</ul>
</div>
</nav>
</div>
</div>
</div>
</div>
<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>