{"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

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 y = mx + b<\/strong>, m<\/strong> stands for the slope and b<\/strong> stands for the y-intercept.
\n2. Substitute the slope and the y-intercept<\/a> in the equation y = mx + b<\/strong> to write the equation.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Write the slope-intercept equation of the line that has a y-intercept of -7 and a slope of\u00a0 \"\\fn_phv.<\/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 y = mx + b<\/strong>, m<\/strong> stands for the slope and b<\/strong> stands for the y-intercept. Substituting in the information given in the problem, the slope (m<\/strong>) is \"\\fn_phv\u00a0and the y-intercept (b<\/strong>) is -7, so the equation becomes.
\n\"\\fn_phv[\/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
Practice Problem 1<\/h5>\n

What is the slope and y-intercept of the given equation?
\n<\/strong><\/span>y = -4x + 1<\/strong>
\n\"Slope<\/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

Practice Problem 2<\/h5>\n

Find an equation in slope-intercept form for a line with slope 12 and y-intercept -2.<\/strong><\/span>
\n\"Slope<\/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

Practice Problem 3<\/h5>\n

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.
\n<\/strong><\/span>Graph the equation, and then interpret the slope and the y-intercept.
\n\"Slope<\/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

Practice Problem 4<\/h5>\n

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.
\n<\/strong><\/span>Drag the labels to complete the sentences.
\n\"Slope<\/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]y-intercept<\/strong> \u2013 the coordinate of the point where a graph crosses the y-axis.<\/p>\n

Slope<\/strong> – a number that describes the direction and steepness of a line.<\/p>\n

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″]Pre-requisite Skills<\/strong><\/span>
\nSlope<\/span><\/a>
\nDirect 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;}”]Related Skills<\/strong><\/span>
\nGraphing Lines Using Intercepts<\/span><\/a>
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[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] 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":"\nSlope 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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