{"id":8907,"date":"2017-05-26T16:42:28","date_gmt":"2017-05-26T16:42:28","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=8907"},"modified":"2019-05-24T20:53:08","modified_gmt":"2019-05-24T20:53:08","slug":"understand-slope-of-a-line","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/understand-slope-of-a-line\/","title":{"raw":"Introduction to Identifying and Using Slope","rendered":"Introduction to Identifying and Using Slope"},"content":{"raw":"<h2>What you'll learn to do: Identify and use slope when solving applications<\/h2>\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23183445\/cottage-768889_960_720.jpg\"><img class=\"wp-image-13091 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23183445\/cottage-768889_960_720-300x198.jpg\" alt=\"\" width=\"703\" height=\"464\" \/><\/a>\r\n\r\nAs we\u2019ve been graphing linear equations, we\u2019ve seen that some lines slant up as they go from left to right and some lines slant down. Some lines are very steep and some lines are flatter. What determines whether a line slants up or down, and if its slant is steep or flat?\r\n\r\nThe steepness of the slant of a line is called the slope of the line. The concept of slope has many applications in the real world. The pitch of a roof and the grade of a highway or wheelchair ramp are just some examples in which you literally see slopes. And when you ride a bicycle, you feel the slope as you pump uphill or coast downhill.\r\n\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n<div class=\"textbox examples\">\r\n<h3>Readiness Quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]146163[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/eF_jiZvb79w\r\n\r\n2)\r\n\r\n[ohm_question]146485[\/ohm_question]\r\n\r\n3)\r\n\r\n[ohm_question]146487[\/ohm_question]\r\n\r\nIf you missed either of these problems, review the video below.\r\n\r\nhttps:\/\/youtu.be\/fcVnwjBgDmk\r\n\r\n4)\r\n\r\n[ohm_question]146162[\/ohm_question]\r\n\r\nIf you missed this problem, review this example.\r\n<div class=\"textbox shaded\">\r\n\r\nWhich of the following fractions are equivalent to [latex]\\Large\\frac{7}{-8}?[\/latex]\r\n\r\n[latex]\\Large\\frac{-7}{-8},\\frac{-7}{8},\\frac{7}{8},-\\frac{7}{8}[\/latex]\r\n[reveal-answer q=\"417548\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"417548\"]\r\n\r\nSolution:\r\nThe quotient of a positive and a negative is a negative, so [latex]\\Large\\frac{7}{-8}[\/latex] is negative. Of the fractions listed, [latex]\\Large\\frac{-7}{8}\\normalsize\\text{and}-\\Large\\frac{7}{8}[\/latex] are also negative.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Identify and use slope when solving applications<\/h2>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23183445\/cottage-768889_960_720.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-13091 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23183445\/cottage-768889_960_720-300x198.jpg\" alt=\"\" width=\"703\" height=\"464\" \/><\/a><\/p>\n<p>As we\u2019ve been graphing linear equations, we\u2019ve seen that some lines slant up as they go from left to right and some lines slant down. Some lines are very steep and some lines are flatter. What determines whether a line slants up or down, and if its slant is steep or flat?<\/p>\n<p>The steepness of the slant of a line is called the slope of the line. The concept of slope has many applications in the real world. The pitch of a roof and the grade of a highway or wheelchair ramp are just some examples in which you literally see slopes. And when you ride a bicycle, you feel the slope as you pump uphill or coast downhill.<\/p>\n<p>Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n<div class=\"textbox examples\">\n<h3>Readiness Quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146163\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146163&theme=oea&iframe_resize_id=ohm146163&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Simplify Basic Expressions in Fraction Form\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/eF_jiZvb79w?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146485\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146485&theme=oea&iframe_resize_id=ohm146485&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146487\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146487&theme=oea&iframe_resize_id=ohm146487&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed either of these problems, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Multiplying and Dividing Involving Zero\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/fcVnwjBgDmk?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>4)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146162\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146162&theme=oea&iframe_resize_id=ohm146162&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this example.<\/p>\n<div class=\"textbox shaded\">\n<p>Which of the following fractions are equivalent to [latex]\\Large\\frac{7}{-8}?[\/latex]<\/p>\n<p>[latex]\\Large\\frac{-7}{-8},\\frac{-7}{8},\\frac{7}{8},-\\frac{7}{8}[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q417548\">Show Solution<\/span><\/p>\n<div id=\"q417548\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<br \/>\nThe quotient of a positive and a negative is a negative, so [latex]\\Large\\frac{7}{-8}[\/latex] is negative. Of the fractions listed, [latex]\\Large\\frac{-7}{8}\\normalsize\\text{and}-\\Large\\frac{7}{8}[\/latex] are also negative.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-8907\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Slanted Roof. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/pixabay.com\/p-768889\/?no_redirect\">https:\/\/pixabay.com\/p-768889\/?no_redirect<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><li>Simplify Basic Expressions in Fraction Form. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/eF_jiZvb79w\">https:\/\/youtu.be\/eF_jiZvb79w<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Multiplying and Dividing Involving Zero. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/fcVnwjBgDmk\">https:\/\/youtu.be\/fcVnwjBgDmk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 146485, 146487. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":13,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Slanted 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