{"id":82,"date":"2019-02-06T17:31:13","date_gmt":"2019-02-06T17:31:13","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/coursedemo-collegealgebracoreq\/chapter\/summary-equations-of-lines\/"},"modified":"2019-02-27T02:02:43","modified_gmt":"2019-02-27T02:02:43","slug":"summary-equations-of-lines","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/chapter\/summary-equations-of-lines\/","title":{"raw":"Summary: Equations of Lines","rendered":"Summary: Equations of Lines"},"content":{"raw":"<iframe src=\"https:\/\/lumenlearning.h5p.com\/content\/1290616418474716458\/embed\" width=\"1088\" height=\"637\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe>\r\n<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 [latex]y[\/latex]-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 point-slope form.<\/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 [latex]y[\/latex]<em>-<\/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<h2>Glossary<\/h2>\r\n<dl id=\"fs-id1165131990658\" class=\"definition\">\r\n \t<dt><strong>slope<\/strong><\/dt>\r\n \t<dd id=\"fs-id1165131990661\">the change in\u00a0<span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]y[\/latex]<\/span><em style=\"font-size: 1em;\">-<\/em><span style=\"font-size: 1em;\">values over the change in\u00a0<\/span><span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]x[\/latex]-<\/span><span style=\"font-size: 1em;\">values<\/span><\/dd>\r\n<\/dl>","rendered":"<p><iframe loading=\"lazy\" src=\"https:\/\/lumenlearning.h5p.com\/content\/1290616418474716458\/embed\" width=\"1088\" height=\"637\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<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 [latex]y[\/latex]-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 point-slope form.<\/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 [latex]y[\/latex]<em>&#8211;<\/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<h2>Glossary<\/h2>\n<dl id=\"fs-id1165131990658\" class=\"definition\">\n<dt><strong>slope<\/strong><\/dt>\n<dd id=\"fs-id1165131990661\">the change in\u00a0<span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]y[\/latex]<\/span><em style=\"font-size: 1em;\">&#8211;<\/em><span style=\"font-size: 1em;\">values over the change in\u00a0<\/span><span style=\"font-size: 1rem; orphans: 1; text-align: initial;\">[latex]x[\/latex]&#8211;<\/span><span style=\"font-size: 1em;\">values<\/span><\/dd>\n<\/dl>\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-82\">\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":17533,"menu_order":15,"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 http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2\"}]","CANDELA_OUTCOMES_GUID":"b7a4605c-14de-428c-8df0-65168f2efe9e","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-82","chapter","type-chapter","status-publish","hentry"],"part":67,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/82","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/82\/revisions"}],"predecessor-version":[{"id":156,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/82\/revisions\/156"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/parts\/67"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/82\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/media?parent=82"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=82"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/contributor?post=82"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/license?post=82"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}