{"id":3399,"date":"2022-01-02T12:19:31","date_gmt":"2022-01-02T12:19:31","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3399"},"modified":"2022-03-04T14:02:49","modified_gmt":"2022-03-04T14:02:49","slug":"slope-intercept-form","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/slope-intercept-form\/","title":{"rendered":"Slope Intercept Form"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h2>Slope Intercept Form – Rules With Examples<\/h2>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Write the slope-intercept equation of the line given either the slope and y-intercept.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. In an equation in <strong>y = mx + b<\/strong>, <strong>m<\/strong> stands for the slope and <strong>b<\/strong> stands for the y-intercept.<br \/>\n2. Substitute the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation\">slope and the y-intercept<\/a> in the equation <strong>y = mx + b<\/strong> to write the equation.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Write the slope-intercept equation of the line that has a y-intercept of -7 and a slope of\u00a0 <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Teal}&space;\\frac{2}{3}}\" alt=\"\\fn_phv {\\color{Teal} \\frac{2}{3}}\" align=\"absmiddle\" \/>.<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]For a linear equation in the form <strong>y = mx + b<\/strong>, <strong>m<\/strong> stands for the slope and <strong>b<\/strong> stands for the y-intercept. Substituting in the information given in the problem, the slope (<strong>m<\/strong>) is <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{2}{3}\" alt=\"\\fn_phv \\frac{2}{3}\" align=\"absmiddle\" \/>\u00a0and the y-intercept (<strong>b<\/strong>) is -7, so the equation becomes.<br \/>\n<img style=\"margin-top: 8px; margin-bottom: 0px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;{\\color{Red}&space;y=\\frac{2}{3}x-7}\" alt=\"\\fn_phv {\\color{Red} y=\\frac{2}{3}x-7}\" align=\"absmiddle\" \/>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Slope Intercept Form[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>What is the slope and y-intercept of the given equation?<br \/>\n<\/strong><\/span><strong>y = -4x + 1<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation\"><img loading=\"lazy\" class=\"alignnone wp-image-3403 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-31.png\" alt=\"Slope Intercept Form - Practice Problem 1\" width=\"183\" height=\"87\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find an equation in slope-intercept form for a line with slope 12 and y-intercept -2.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation\"><img loading=\"lazy\" class=\"alignnone wp-image-3405 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-23.png\" alt=\"Slope Intercept Form - Practice Problem 2\" width=\"140\" height=\"45\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>You want to rent a car for a few days. The initial rental fee is $20. For each day you rent the car, it is an extra charge of $5 a day. The total rental fee is determined by y = 5x + 20.<br \/>\n<\/strong><\/span>Graph the equation, and then interpret the slope and the y-intercept.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation\"><img loading=\"lazy\" class=\"alignnone wp-image-3407 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-17.png\" alt=\"Slope Intercept Form - Practice Problem 3\" width=\"461\" height=\"451\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-17.png 461w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-17-300x293.png 300w\" sizes=\"(max-width: 461px) 100vw, 461px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><span style=\"color: #16a085;\"><strong>When boarding a flight, you have to pay for the cost of your ticket and for each bag you check in. The total cost of your flight, y in dollars, can be determined by the equation y = 15x + 200, where x is the number of bags you check-in.<br \/>\n<\/strong><\/span>Drag the labels to complete the sentences.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation\"><img loading=\"lazy\" class=\"alignnone wp-image-3409 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-12.png\" alt=\"Slope Intercept Form - Practice Problem 4\" width=\"440\" height=\"137\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-12.png 440w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-12-300x93.png 300w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-intercept-form-of-an-equation”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>y-intercept<\/strong> \u2013 the coordinate of the point where a graph crosses the y-axis.<\/p>\n<p><strong>Slope<\/strong> – a number that describes the direction and steepness of a line.<\/p>\n<p><strong>Slope intercept form<\/strong> \u2013 a linear equation written in the form y = mx + b, where m stands for the slope, and b stands for the y-intercept.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope\"><span style=\"color: #ed5600;\">Slope<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/direct-variation-equations-y-mx-\"><span style=\"color: #ed5600;\">Direct Variation Equations (y = mx)<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635250457663{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-right-color: #333399 !important;border-top-color: #333399 !important;border-bottom-color: #333399 !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/graphing-lines-using-intercepts\"><span style=\"color: #333399;\">Graphing Lines Using Intercepts<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/write-linear-equations\"><span style=\"color: #333399;\">Write Linear Equations<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ 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img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Slope Intercept Form – Rules With Examples [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Write the slope-intercept equation of the line given either the slope and y-intercept.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. In an equation in y = mx + b, m […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Slope Intercept Form - Rules And Example | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Slope-intercept form mathematically is among the math forms that are used in the calculation of equation for straight lines, as considering the slope of the line and the an intercept that it forms \u2026..\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/slope-intercept-form\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Slope Intercept Form\" \/>\n<meta property=\"og:description\" content=\"Slope-intercept form mathematically is among the math forms that are used in the calculation of equation for straight lines, as considering the slope of the line and the an intercept that it forms \u2026..\" \/>\n<meta property=\"og:url\" content=\"https:\/\/oryxlearning.com\/learn\/slope-intercept-form\/\" \/>\n<meta property=\"og:site_name\" content=\"Oryx Learning\" \/>\n<meta property=\"article:modified_time\" content=\"2022-03-04T14:02:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/latex.codecogs.com\/svg.latex?fn_phv&space;colorTeal&space;frac23\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#organization\",\"name\":\"Oryx Learning\",\"url\":\"https:\/\/oryxlearning.com\/learn\/\",\"sameAs\":[],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png\",\"contentUrl\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png\",\"width\":150,\"height\":74,\"caption\":\"Oryx Learning\"},\"image\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#website\",\"url\":\"https:\/\/oryxlearning.com\/learn\/\",\"name\":\"Oryx Learning\",\"description\":\"Complete interactive math curriculum\",\"publisher\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/oryxlearning.com\/learn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/slope-intercept-form\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/latex.codecogs.com\/svg.latex?\\\\fn_phv&space;{\\\\color{Teal}&space;\\\\frac{2}{3}}\",\"contentUrl\":\"https:\/\/latex.codecogs.com\/svg.latex?\\\\fn_phv&space;{\\\\color{Teal}&space;\\\\frac{2}{3}}\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/slope-intercept-form\/#webpage\",\"url\":\"https:\/\/oryxlearning.com\/learn\/slope-intercept-form\/\",\"name\":\"Slope Intercept Form - 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