{"id":945,"date":"2016-10-20T20:55:09","date_gmt":"2016-10-20T20:55:09","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakercollegealgebra\/?post_type=chapter&#038;p=945"},"modified":"2017-04-04T16:14:18","modified_gmt":"2017-04-04T16:14:18","slug":"summary-equations-of-lines","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ivytech-wmopen-collegealgebra\/chapter\/summary-equations-of-lines\/","title":{"raw":"Summary: Equations of Lines","rendered":"Summary: Equations of Lines"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li>Given two points, we can find the slope of a line using the slope formula.<\/li>\r\n \t<li>We can identify the slope and <em>y<\/em>-intercept of an equation in slope-intercept form.<\/li>\r\n \t<li>We can find the equation of a line given the slope and a point.<\/li>\r\n \t<li>We can also find the equation of a line given two points. Find the slope and use the point-slope formula.<\/li>\r\n \t<li>The standard form of a line has no fractions.<\/li>\r\n \t<li>Horizontal lines have a slope of zero and are defined as [latex]y=c[\/latex], where <em>c <\/em>is a constant.<\/li>\r\n \t<li>Vertical lines have an undefined slope (zero in the denominator), and are defined as [latex]x=c[\/latex], where <em>c <\/em>is a constant.<\/li>\r\n \t<li>Parallel lines have the same slope and different <em>y-<\/em>intercepts.<\/li>\r\n \t<li>Perpendicular lines have slopes that are negative reciprocals of each other unless one is horizontal and the other is vertical.<\/li>\r\n<\/ul>\r\n<ul>\r\n \t<li>A linear equation can be used to solve for an unknown in a number problem.<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<strong>slope<\/strong> the change in <em>y-<\/em>values over the change in <em>x-<\/em>values\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>Given two points, we can find the slope of a line using the slope formula.<\/li>\n<li>We can identify the slope and <em>y<\/em>-intercept of an equation in slope-intercept form.<\/li>\n<li>We can find the equation of a line given the slope and a point.<\/li>\n<li>We can also find the equation of a line given two points. Find the slope and use the point-slope formula.<\/li>\n<li>The standard form of a line has no fractions.<\/li>\n<li>Horizontal lines have a slope of zero and are defined as [latex]y=c[\/latex], where <em>c <\/em>is a constant.<\/li>\n<li>Vertical lines have an undefined slope (zero in the denominator), and are defined as [latex]x=c[\/latex], where <em>c <\/em>is a constant.<\/li>\n<li>Parallel lines have the same slope and different <em>y-<\/em>intercepts.<\/li>\n<li>Perpendicular lines have slopes that are negative reciprocals of each other unless one is horizontal and the other is vertical.<\/li>\n<\/ul>\n<ul>\n<li>A linear equation can be used to solve for an unknown in a number problem.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<p><strong>slope<\/strong> the change in <em>y-<\/em>values over the change in <em>x-<\/em>values<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\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-945\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Revision and Adaptation. <strong>Provided 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><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>College Algebra. <strong>Authored by<\/strong>: Abramson, Jay et al.. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2\">http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2<\/a>. <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\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2<\/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":10,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Revision and Adaptation\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"College Algebra\",\"author\":\"Abramson, Jay et al.\",\"organization\":\"OpenStax\",\"url\":\"http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at 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