{"id":261,"date":"2023-07-10T06:35:06","date_gmt":"2023-07-10T06:35:06","guid":{"rendered":"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/"},"modified":"2023-07-10T06:35:06","modified_gmt":"2023-07-10T06:35:06","slug":"persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/","title":{"rendered":"Persamaan garis yang melalui dua titik (rumus)"},"content":{"rendered":"<p>Di sini Anda akan menemukan rumus untuk dengan cepat mencari persamaan garis yang melalui dua titik. Selain itu, Anda akan dapat melihat contoh dan latihan dengan latihan persamaan garis yang ditentukan oleh 2 titik. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-ecuacion-de-la-recta-que-pasa-por-dos-puntos\"><\/span>Rumus persamaan garis yang melalui dua titik<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Masalah persamaan garis yang umum adalah menghitung persamaan garis yang ditentukan oleh dua titik tertentu. Meskipun ada beberapa cara untuk menyelesaikan soal jenis ini, berikut rumus yang dapat digunakan untuk mencari persamaan garis tersebut secara langsung dengan cepat dan mudah: <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> Perhatikan dua titik yang terletak pada sebuah garis:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ceeb15f0a8e905e9a81db258ae193cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(x_1,y_1) \\qquad \\qquad  P_2(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"220\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong>Rumus mencari persamaan garis dari 2 titiknya<\/strong> adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f97d63f216910e7979937859fb90a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= \\cfrac{y_2-y_1}{x_2-x_1} (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"193\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<\/div>\n<p> Rumus persamaan garis yang mempunyai dua titik diturunkan dari <a href=\"https:\/\/mathority.org\/id\/persamaan-titik-kemiringan-rumus-garis\/\">persamaan titik-kemiringan garis<\/a> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c49124e9c4447c7db20a76176679b9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= m (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Kemiringan suatu garis dapat dihitung dengan persamaan berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a88e2c28902f606d97c18ba771d9c76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"99\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> Ternyata rumus persamaannya diberikan koordinat dua titik:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f97d63f216910e7979937859fb90a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= \\cfrac{y_2-y_1}{x_2-x_1} (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"193\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> Jadi, untuk menentukan persamaan suatu garis, Anda hanya perlu mengetahui dua titik yang dilaluinya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-ecuacion-de-la-recta-dados-dos-puntos\"><\/span> Contoh cara mencari persamaan garis yang diberi dua titik <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<p> Setelah kita melihat rumus persamaan garis 2 titik yang diberikan di atas, sekarang mari kita lihat bagaimana penyelesaian persamaan garis pada umumnya:<\/p>\n<ul>\n<li> Berapakah persamaan garis yang melalui dua titik berikut?<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a8192c5e1ed89b71dbcb9c7bd7643c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1 (3,1) \\qquad \\qquad P_2(-2,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"201\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Karena kita sudah mengetahui dua titik yang ada pada garis tersebut, maka kita langsung menggunakan rumus tersebut untuk menghitung persamaannya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f97d63f216910e7979937859fb90a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= \\cfrac{y_2-y_1}{x_2-x_1} (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"193\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p> Sekarang kita substitusikan koordinat titik-titik tersebut ke dalam rumus:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b9c0239951de0ab27952da7f7b39228_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1= \\cfrac{5-1}{-2-3} (x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"172\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dan terakhir, kita menghitung kemiringan garis:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b11b4ab8199ec8fa6ded3ff4bab951a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1= \\cfrac{4}{-5} (x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"142\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Maka persamaan garis yang melalui kedua titik tersebut adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f8dcbe407c65719a4094fc1630cdc93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y-1=-} \\mathbf{\\cfrac{4}{5}}\\bm{ (x-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"143\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Karena pernyataan tersebut tidak menyatakan sebaliknya, maka persamaan garis tersebut tidak perlu disederhanakan lagi, meskipun hanya tersisa pecahan. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-de-la-recta-que-pasa-por-dos-puntos\"><\/span> Menyelesaikan soal persamaan garis yang melalui dua titik <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Tentukan persamaan garis yang melalui dua titik berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40e2b3beb2ff2f058df5534f1bd6b925_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1 (4,-1) \\qquad \\qquad P_2(5,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"201\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Karena kita sudah mengetahui dua titik pada garis, maka kita langsung menerapkan rumus persamaan garis pada 2 titik tertentu:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f97d63f216910e7979937859fb90a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= \\cfrac{y_2-y_1}{x_2-x_1} (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"193\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita substitusikan koordinat Cartesian titik-titik tersebut ke dalam rumus:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c75c3e6820d69b59b21ff79e2aee3055_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-(-1)= \\cfrac{2-(-1)}{5-4} (x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"214\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan terakhir, kita menghitung kemiringan garis: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3646c71be87d906417e00a512450ca9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y+1= \\cfrac{3}{1} (x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"128\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a70434a562eb7d94f6ff02d23de896a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y+1= 3(x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Maka persamaan garis yang melalui kedua titik tersebut adalah: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e7c7f608e0e1ba52d453cad7a29e99d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y+1= 3(x-4)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 2<\/h3>\n<p> Tentukan persamaan garis yang melalui dua titik berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-449c593a7f91b28f1dd9fc4fafcbb456_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1 (-2,0) \\qquad \\qquad P_2(-3,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"215\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Karena kita sudah mengetahui dua titik yang termasuk dalam garis tersebut, kita langsung menggunakan rumus persamaan garis yang diketahui memiliki 2 titik:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f97d63f216910e7979937859fb90a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= \\cfrac{y_2-y_1}{x_2-x_1} (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"193\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita substitusikan koordinat titik-titik tersebut ke dalam rumus:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e75ee7be0059d4ada24e0f7b4f6e6dab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-0= \\cfrac{1-0}{-3-(-2)} (x-(-2))\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"228\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan terakhir, kami melakukan operasi: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba817d491a77659d6914fd3d922c5d65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{1}{-1} (x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"111\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4013da340a996b232b4351b93f99fb0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -(x+2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"100\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9e5e6847927e6de05d26a98798e8045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"87\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Maka persamaan garis yang melalui kedua titik tersebut adalah: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf7a5631fec6de1cfdd67faf66f555fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y= -x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"87\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 3<\/h3>\n<p> Tanpa melakukan perhitungan apapun, tentukanlah sebuah titik yang terletak pada garis berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e4f26efe26514fe7d533f7fdd747bb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-2= 4(x+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Suatu titik pada garis dapat disimpulkan dari rumus persamaan garis yang melalui 2 titik:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f97d63f216910e7979937859fb90a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= \\cfrac{y_2-y_1}{x_2-x_1} (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"193\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Koordinat Y suatu titik adalah suku sebelum variabel<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> tandanya berubah, dan koordinat X dari titik tersebut akan menjadi angka di dalam tanda kurung negatif: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f849e2fdf475435eebc132939a74b5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(-1,2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 4<\/h3>\n<p> Temukan titik ketiga pada garis yang ditentukan oleh dua titik berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6a2c2ef1acf12bef1ade57d448b42f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1 (4,1) \\qquad \\qquad P_2(2,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"201\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Kita harus mencari dulu persamaan garisnya dengan rumus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f97d63f216910e7979937859fb90a10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-y_1= \\cfrac{y_2-y_1}{x_2-x_1} (x-x_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"193\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-752b74526fdd4bc4970a9a037c6ac15e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1= \\cfrac{-3-1}{2-4} (x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"180\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9fea65fc79fdb19c1097f29b911daa4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1= \\cfrac{-4}{-2} (x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"150\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b836e74f660a6877ae793959df453a75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1= 2(x-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan setelah persamaan garis yang melalui dua titik tersebut ditemukan, kita menghitung titik ketiga yang memberikan nilai berapa pun pada salah satu variabel. Misalnya, kami akan melakukannya <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad17dbcbf3ba82c6c3981fce09749329_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1= 2(x-4) \\ \\xrightarrow{x \\ = \\ 0} \\ y-1= 2(0-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"321\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18fc690cbc8ae58fe3d447c7e78ad2a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1=2\\cdot (-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ddbb79ff4f8113a4a9b33bbdc5c43511_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y-1=-8\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"86\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d77f8c2abd9c14cf0bb3b893f44dba95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-8+1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"85\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c15f100d859ec9077a43994ca473b018_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-7\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"56\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jadi koordinat titik lain yang termasuk dalam garis tersebut adalah: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d4a9f89f567988d567c2005e40c00ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(0,-7)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Di sini Anda akan menemukan rumus untuk dengan cepat mencari persamaan garis yang melalui dua titik. Selain itu, Anda akan dapat melihat contoh dan latihan dengan latihan persamaan garis yang ditentukan oleh 2 titik. Rumus persamaan garis yang melalui dua titik Masalah persamaan garis yang umum adalah menghitung persamaan garis yang ditentukan oleh dua titik &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/\"> <span class=\"screen-reader-text\">Persamaan garis yang melalui dua titik (rumus)<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[47],"tags":[],"class_list":["post-261","post","type-post","status-publish","format-standard","hentry","category-titik-garis-dan-bidang"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Persamaan garis yang melalui dua titik (rumus) - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Persamaan garis yang melalui dua titik (rumus) - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan rumus untuk dengan cepat mencari persamaan garis yang melalui dua titik. Selain itu, Anda akan dapat melihat contoh dan latihan dengan latihan persamaan garis yang ditentukan oleh 2 titik. Rumus persamaan garis yang melalui dua titik Masalah persamaan garis yang umum adalah menghitung persamaan garis yang ditentukan oleh dua titik &hellip; Persamaan garis yang melalui dua titik (rumus) Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T06:35:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ceeb15f0a8e905e9a81db258ae193cd_l3.png\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Persamaan garis yang melalui dua titik (rumus)\",\"datePublished\":\"2023-07-10T06:35:06+00:00\",\"dateModified\":\"2023-07-10T06:35:06+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/\"},\"wordCount\":471,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Titik, garis, dan bidang\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/\",\"url\":\"https:\/\/mathority.org\/id\/persamaan-garis-yang-melalui-dua-titik-tertentu-rumus-2\/\",\"name\":\"Persamaan garis yang melalui dua titik (rumus) - 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