{"id":234,"date":"2023-07-10T19:30:40","date_gmt":"2023-07-10T19:30:40","guid":{"rendered":"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/"},"modified":"2023-07-10T19:30:40","modified_gmt":"2023-07-10T19:30:40","slug":"jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/","title":{"rendered":"Jarak antara titik dan garis"},"content":{"rendered":"<p>Di sini Anda akan menemukan rumus yang digunakan untuk menghitung jarak antara titik dan garis. Selain itu, Anda akan dapat melihat beberapa contoh dan menyelesaikan latihan jarak antara titik dan garis dan, bahkan, penerapan operasi ini (misalnya, mencari jarak antara garis sejajar). <\/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-distancia-entre-un-punto-y-una-recta\"><\/span> Rumus jarak antara titik dan garis<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Jarak antara suatu titik dan suatu garis<\/strong> adalah jarak terpendek antara titik tersebut dan garis tersebut. Secara matematis, jarak minimum ini setara dengan panjang ruas yang ditarik dari titik ke garis dan tegak lurus garis. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-un-point-et-une-droite-1.webp\" alt=\"berapa jarak antara titik dan garis\" class=\"wp-image-1951\" width=\"326\" height=\"291\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Setelah kita melihat konsep geometri jarak antara titik dan garis, mari kita lihat rumus apa yang digunakan untuk menghitung jarak tersebut: <\/p>\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\"> Mengingat persamaan implisit (atau umum) dari sebuah garis dan koordinat titik mana pun pada bidang:<\/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-127fb199bd8a31769e3814d2581888eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ Ax+By+C=0 \\qquad \\qquad P(p_x,p_y)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"306\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;\"> <strong>Rumus jarak antara titik dan garis<\/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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<\/div>\n<p> <strong>Penting:<\/strong> Perhatikan bahwa persamaan garis dalam rumusnya berbentuk persamaan implisit (atau umum), jadi jika kita mempunyai garis yang dinyatakan dalam persamaan jenis lain, kita harus meneruskannya terlebih dahulu ke persamaan implisitnya, lalu kita bisa menerapkan rumusnya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-calcular-la-distancia-entre-un-punto-y-una-recta\"><\/span> Contoh menghitung jarak antara titik dan garis <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> Di bawah ini Anda dapat melihat contoh penghitungan jarak antara titik dan garis:<\/p>\n<ul>\n<li> Temukan jarak antara titik tersebut\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan hukum<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<\/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-7ddc3d4b82281ca90fa991e092194056_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,-1) \\qquad \\qquad r: \\ 3x+4y-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"289\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Untuk menghitung jarak antara titik dan garis, cukup terapkan rumusnya:<\/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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Sekarang kita ganti setiap suku dengan nilainya:<\/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-5117783b26d70ca74c38e1c3f7c94505_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 3\\cdot 2 + 4\\cdot (-1)-5\\rvert}{\\sqrt{3^2+4^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"228\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Dan terakhir kita hitung jaraknya: <\/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-d1ab18e8e237f777d2ae0dfbc41055a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 6 -4-5\\rvert}{\\sqrt{9+16}} =\\cfrac{\\lvert -3 \\rvert}{\\sqrt{25}} = \\mathbf{\\cfrac{3}{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"251\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distancia-entre-dos-rectas-paralelas\"><\/span> Jarak antara dua garis sejajar <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<p> Salah satu penerapan penghitungan jarak suatu garis ke suatu titik adalah dengan mencari jarak antara garis-garis sejajar.<\/p>\n<p> Tentunya untuk memahami konsep yang akan kami jelaskan di bawah ini anda harus mengetahui <a href=\"https:\/\/mathority.org\/id\/pengertian-garis-sejajar-dan-contohnya\/\">apa itu garis sejajar<\/a> , jadi jika anda belum mengetahui secara pasti definisinya, kami tinggalkan link yang akan kami jelaskan secara detail dan anda juga bisa melihat contohnya. dari garis sejajar.<\/p>\n<p> <strong>Untuk mencari jarak antara dua garis sejajar, cukup ambil sebuah titik pada salah satu dari dua garis tersebut dan hitung jarak dari titik tersebut ke garis lainnya.<\/strong> <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-un-point-et-une-ligne-en-ligne.webp\" alt=\"jarak antara titik dan garis\" class=\"wp-image-1960\" width=\"421\" height=\"358\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Jadi, untuk menentukan jarak antara dua garis sejajar digunakan juga rumus jarak antara suatu garis dan suatu titik.<\/p>\n<p> Sebaliknya, jika dengan menggunakan rumus diperoleh jarak 0 satuan, berarti garis-garis tersebut saling bersentuhan di suatu titik sehingga garis-garis tersebut tidak sejajar, melainkan berpotongan, berhimpitan, atau tegak lurus. Jika mau, Anda dapat memeriksa perbedaan jenis garis ini di website kami.<\/p>\n<p> Jadi mari kita lihat bagaimana menyelesaikan masalah jarak antara dua garis sejajar melalui sebuah contoh:<\/p>\n<ul>\n<li> Tentukan jarak antara dua garis sejajar 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-8be694174fbd8330f207d16a9fb4bb89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ 2x-4y-6=0 \\qquad \\qquad s: \\ -x+2y+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"378\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Hal pertama yang perlu kita lakukan adalah mendapatkan titik pada salah satu garis (yang Anda inginkan). Dalam hal ini, kita akan menghitung sebuah titik pada 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-23a7daa116b8874af1538c91f8d239de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> Untuk melakukan ini, Anda harus memberi nilai pada salah satu variabel, misalnya akan kita lakukan<\/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-3b748efe6f89a8c847e2e6c2d5a78db8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x+2y+4 =0 \\ \\xrightarrow{x \\ = \\ 0} \\ -0+2y+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Dan sekarang kita menghapus variabel lainnya (<\/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> ) dari persamaan yang diperoleh untuk mengetahui berapa nilainya pada saat ini: <\/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-91edb06d37339167f458f910de16d57b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2y=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"65\" 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-9901e9a85409e4bcbfcbffdcf97cb175_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{-4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"66\" 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-50b25376eef215b49997f236615b6d6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, titik diperoleh dari garis tersebut<\/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-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> Timur:<\/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-a9176e7fde633e028a8349a5bc422e03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dan ketika kita sudah mempunyai sebuah titik pada sebuah garis, kita menghitung jarak dari titik tersebut ke garis lainnya dengan menggunakan 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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/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-451c7425d16dbf9c209df7a37777597b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 2\\cdot 0 + (-4)\\cdot (-2) +(-6)\\rvert}{\\sqrt{2^2+(-4)^2}}= \\cfrac{2}{\\sqrt{20}}=\\bm{0,45}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"398\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-distancia-entre-un-punto-y-una-recta\"><\/span> Menyelesaikan masalah jarak antara titik dan garis<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Hitung jarak antar 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-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan hukum <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" 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-15463bc0f037173b2283051b2e915dae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(4,2) \\qquad \\qquad r: \\ 5x-3y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"275\" 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\"> Untuk mencari jarak antara titik dan garis, cukup terapkan rumusnya:<\/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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Kami mengganti setiap suku dengan nilainya dan menghitung jaraknya: <\/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-e840997220799ac7d54b6efffc91533a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 5\\cdot 4 + (-3)\\cdot 2+6\\rvert}{\\sqrt{5^2+(-3)^2}}=\\cfrac{20}{\\sqrt{34}}= \\bm{3,43}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"344\" style=\"vertical-align: -20px;\"><\/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> Berapa jarak antar titik tersebut<\/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-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan hukum<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> ? <\/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-41ed4564d284382ca1818f75faf32b27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-3,-1) \\qquad \\qquad r: \\  y=-3x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"276\" 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\"> Dalam hal ini, persamaan garis berbentuk implisit (atau umum). Sebaliknya, untuk menggunakan rumus jarak suatu titik ke garis, garis tersebut harus dinyatakan sebagai persamaan implisit. Oleh karena itu, pertama-tama kita harus mengubah garis tersebut dan meneruskannya ke persamaan implisit (lewati saja semua suku pada sisi persamaan yang sama):<\/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-1e964a7afee927714fb86c7157d4b881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\  3x+y-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"142\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan jika garis sudah dalam bentuk eksplisit, sekarang kita dapat menggunakan rumus jarak antara titik dan 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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Oleh karena itu, kami mengganti setiap suku dengan nilainya dan menghitung jaraknya: <\/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-5da11b73842cb053431781741f29cf97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 3\\cdot (-3) + 1\\cdot (-1)-5\\rvert}{\\sqrt{3^2+1^2}}=\\cfrac{\\lvert -9-1-5\\rvert}{\\sqrt{9+1}}=\\cfrac{15}{\\sqrt{10}}= \\bm{4,74}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"491\" style=\"vertical-align: -16px;\"><\/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> Berapa jarak antara dua 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-9ad10fd8e20d413e433851810e823172_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ x+3y-4=0 \\qquad \\qquad s: \\ 2x+6y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"364\" style=\"vertical-align: -4px;\"><\/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\"> Pertama, kita akan memverifikasi bahwa ini adalah dua garis sejajar. Untuk ini, koefisien 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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/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> harus proporsional satu sama lain tetapi tidak dengan ketentuan independen:<\/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-1a5385dff1a5c143885cac238927cea7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1}{2} = \\cfrac{3}{6}\\neq \\cfrac{-4}{6} \\ \\longrightarrow \\ \\text{Paralelas}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"220\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Memang garisnya sejajar, oleh karena itu kita dapat menerapkan prosedur tersebut.<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita perlu mendapatkan titik dari salah satu garis (yang Anda inginkan). Dalam hal ini, kita akan menghitung sebuah titik pada 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-23a7daa116b8874af1538c91f8d239de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> Untuk melakukan ini, Anda harus menetapkan nilai ke salah satu variabel, misalnya yang akan kami lakukan<\/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-cfbc09666c2be26abbecc34491f0f0a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+6y+6=0 \\ \\xrightarrow{x \\ = \\ 0} \\ 2\\cdot 0+6y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"325\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan sekarang kita menghapus variabel lainnya (<\/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> ) dari persamaan yang diperoleh untuk mengetahui nilainya pada titik ini: <\/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-d2147ae4d002aba7f27fda064a5f3d15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6y=-6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"65\" 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-011e4abb1bbc3ef5f362695736e2b1f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{-6}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"66\" 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-8330e0406bdbde3e65e8142fafceeee6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sehingga diperoleh titik dari garis tersebut<\/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-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> Timur:<\/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-d4834bffe8509fbc113d7be09e378a7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Setelah kita mengetahui suatu titik pada suatu garis, kita menghitung jarak dari titik tersebut ke garis lainnya 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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/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-04bdc4f7bf4e33872b9a1dae673198df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 1\\cdot 0 + 3\\cdot (-1) +(-4)\\rvert}{\\sqrt{1^2+3^2}}= \\cfrac{7}{\\sqrt{10}}=\\bm{2,21}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"371\" style=\"vertical-align: -16px;\"><\/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> Hitung nilai yang tidak diketahui<\/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-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> sehingga jarak antar titik<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan hukum<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> yaitu 5 unit. <\/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-4a67915da76e50711bd1ab382c252d0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2,5) \\qquad \\qquad r: \\ 12x-5y+k=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" 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\"> Pertama-tama kita harus menerapkan rumus jarak antara titik dan 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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita ganti setiap suku dengan nilainya dan sederhanakan ekspresi:<\/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-33ba5ddeb270550eb80a95a092204c53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 12\\cdot (-2) + (-5)\\cdot 5+k\\rvert}{\\sqrt{12^2+(-5)^2}}= \\cfrac{\\lvert -24-25+k\\rvert}{\\sqrt{169}}=\\cfrac{\\lvert -49+k\\rvert}{13}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"501\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Rumusan masalah memberitahu kita bahwa jarak antara titik dan garis harus sama dengan 5, jadi persamaan sebelumnya sama dengan 5:<\/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-c8ecc06c9ee4d5bb4f7af3e44ebf1554_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\lvert -49+k\\rvert}{13}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"104\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan kami menyelesaikan persamaan yang dihasilkan. Pada pembilang pecahan terdapat nilai mutlak, oleh karena itu kita harus menganalisis secara terpisah kapan nilai mutlaknya positif dan kapan negatif: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-123\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07410ec6d53a5693ac56545b685f08fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{+(-49+k)}{13}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"130\" 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-b7e23215c12b8cd48c8dc8f53034bd57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-49+k= 5 \\cdot 13\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"125\" style=\"vertical-align: -2px;\"><\/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-5c7ac0f20e76f3591e7dae560e8cb7c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-49+k= 65\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"103\" style=\"vertical-align: -2px;\"><\/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-25f3828a5779f9ac2703a313f3032d2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k= 65+49\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"91\" style=\"vertical-align: -2px;\"><\/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-29b0e2bdc51132eccc8e8e6b67301103_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k= 114}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08ddd02fb3360a9b6a7756d13b790c95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-(-49+k)}{13}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"130\" 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-368c3ad800681e7d86460e6d175d676e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"49-k= 5 \\cdot 13\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"112\" 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-aea503c1a7fc95f936b2fe2c72e946a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"49-k= 65\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"90\" 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-ef8ec1c62a0a8d710f15466eefccf911_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"49-65=k\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"90\" 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-4adfa64e85e20e7e2ada6dd8a42c5d55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-16=k}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"63\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Oleh karena itu, ada dua kemungkinan nilai<\/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-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> benar:<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5172bc9d68d6bfe4b17cbe2f1e40aa0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=114\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<p> salah satu<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-796de6aa36adaf954bbb8584d094c3fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=-16.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"69\" style=\"vertical-align: 0px;\"><\/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 yang digunakan untuk menghitung jarak antara titik dan garis. Selain itu, Anda akan dapat melihat beberapa contoh dan menyelesaikan latihan jarak antara titik dan garis dan, bahkan, penerapan operasi ini (misalnya, mencari jarak antara garis sejajar). Rumus jarak antara titik dan garis Jarak antara suatu titik dan suatu garis &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/\"> <span class=\"screen-reader-text\">Jarak antara titik dan garis<\/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-234","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>Jarak antara titik dan garis - 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\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jarak antara titik dan garis - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan rumus yang digunakan untuk menghitung jarak antara titik dan garis. Selain itu, Anda akan dapat melihat beberapa contoh dan menyelesaikan latihan jarak antara titik dan garis dan, bahkan, penerapan operasi ini (misalnya, mencari jarak antara garis sejajar). Rumus jarak antara titik dan garis Jarak antara suatu titik dan suatu garis &hellip; Jarak antara titik dan garis Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T19:30:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-un-point-et-une-droite-1.webp\" \/>\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=\"4 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Jarak antara titik dan garis\",\"datePublished\":\"2023-07-10T19:30:40+00:00\",\"dateModified\":\"2023-07-10T19:30:40+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/\"},\"wordCount\":815,\"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\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/\",\"url\":\"https:\/\/mathority.org\/id\/jarak-antara-titik-dan-garis-contoh-rumus-soal-soal-yang-diselesaikan\/\",\"name\":\"Jarak antara titik dan garis - 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