{"id":170,"date":"2023-06-21T13:22:40","date_gmt":"2023-06-21T13:22:40","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/introduction-graphs-of-linear-functions\/"},"modified":"2024-01-08T19:04:50","modified_gmt":"2024-01-08T19:04:50","slug":"introduction-graphs-of-linear-functions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/introduction-graphs-of-linear-functions\/","title":{"raw":"3.1b   Introduction to Graphing and Writing Equations of Linear Functions","rendered":"3.1b   Introduction to Graphing and Writing Equations of Linear Functions"},"content":{"raw":"<h2>What you\u2019ll learn to do: Graph, write, and analyze equations of linear functions<\/h2>\r\nWe\u00a0can now describe a variety of characteristics that explain the behavior of\u00a0linear functions. We will use this information to\u00a0analyze a graphed line and write an equation based on its observable properties. From evaluating the graph, what can you determine about this linear function?\r\n\r\n<img class=\"wp-image-4213 alignleft\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/896\/2016\/10\/14214712\/Screen-Shot-2017-04-14-at-2.46.28-PM-300x298.png\" alt=\"Graph of the function f(x)= frac {2}{3} x plus 1\" width=\"287\" height=\"285\" \/>\r\n<ul>\r\n \t<li>initial value (y-intercept)?<\/li>\r\n \t<li>one or two points?<\/li>\r\n \t<li>slope?<\/li>\r\n \t<li>increasing or decreasing?<\/li>\r\n \t<li>vertical or horizontal?<\/li>\r\n<\/ul>\r\nIn this section, you will practice writing linear function equations using the\u00a0information you've gathered. We will\u00a0also practice graphing linear functions using different methods and predict how the graphs of linear functions will change when parts of the equation are altered.","rendered":"<h2>What you\u2019ll learn to do: Graph, write, and analyze equations of linear functions<\/h2>\n<p>We\u00a0can now describe a variety of characteristics that explain the behavior of\u00a0linear functions. We will use this information to\u00a0analyze a graphed line and write an equation based on its observable properties. From evaluating the graph, what can you determine about this linear function?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4213 alignleft\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/896\/2016\/10\/14214712\/Screen-Shot-2017-04-14-at-2.46.28-PM-300x298.png\" alt=\"Graph of the function f(x)= frac {2}{3} x plus 1\" width=\"287\" height=\"285\" \/><\/p>\n<ul>\n<li>initial value (y-intercept)?<\/li>\n<li>one or two points?<\/li>\n<li>slope?<\/li>\n<li>increasing or decreasing?<\/li>\n<li>vertical or horizontal?<\/li>\n<\/ul>\n<p>In this section, you will practice writing linear function equations using the\u00a0information you&#8217;ve gathered. We will\u00a0also practice graphing linear functions using different methods and predict how the graphs of linear functions will change when parts of the equation are altered.<\/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-170\">\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":395986,"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 http:\/\/cnx.org\/contents\/9b08c294-057f-4201-9f48-5d6ad992740d@5.2\"}]","CANDELA_OUTCOMES_GUID":"37b3ba83-e2e0-4dc7-970e-28602a72abda","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-170","chapter","type-chapter","status-publish","hentry"],"part":160,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/users\/395986"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/170\/revisions"}],"predecessor-version":[{"id":1503,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/170\/revisions\/1503"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/parts\/160"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/170\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/media?parent=170"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=170"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/contributor?post=170"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/wp-json\/wp\/v2\/license?post=170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}