{"id":2380,"date":"2021-10-12T17:31:35","date_gmt":"2021-10-12T17:31:35","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2380"},"modified":"2022-04-23T00:18:08","modified_gmt":"2022-04-23T00:18:08","slug":"summary-review-12","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/summary-review-12\/","title":{"raw":"Summary: Review","rendered":"Summary: Review"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">An <strong>ordered pair<\/strong> [latex](x,y)[\/latex] tells the location of a point relative to the point\u2019s location along the horizontal <em>x<\/em>-axis and along the vertical <em>y<\/em>-axis.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">To graph a linear equation, create a table of values for <em>x<\/em> and <em>y<\/em>, and then plot these ordered pairs on the coordinate plane. Then draw a line through the points.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The <strong>slope-intercept form<\/strong> for the equation of a line is [latex]y=mx+b[\/latex] where <em>m<\/em> and <em>b<\/em> are real numbers, <em>m<\/em> = slope and <em>b<\/em> = <em>y<\/em>-intercept.<\/li>\r\n<\/ul>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The <strong>slope<\/strong> of a line, m, represents the change in y over the change in <em>x<\/em>. Given two points, [latex](x_1, y_1)[\/latex] and [latex](x_2, y2)[\/latex], the slope of the line is [latex]m=\\frac{y_2-y_1}{x_2-x_1}[\/latex]. If <em>x<\/em> increases by 1 unit, <em>y<\/em> changes by <em>m<\/em> units.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The <strong><em>y<\/em>-intercept<\/strong>, <em>b<\/em>, is the point where the line crosses the <em>y<\/em>-axis. The <em>y<\/em>-intercept tells us the value of <em>y<\/em> when <em>x<\/em> = 0.<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\"><strong>Origin:<\/strong>\u00a0the point where the horizontal and vertical axes intersect at 0 on the <em>x<\/em>-axis and 0 on the <em>y<\/em>-axis<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\"><strong>Quadrants:<\/strong> the four sections of the coordinate plane formed by the intersection of the <em>x<\/em>- and <em>y<\/em>-axes<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\"><strong>Linear relationship:<\/strong> a relationship between variables such that when plotted on a coordinate plane, the points lie on a line<\/li>\r\n<\/ul>","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">An <strong>ordered pair<\/strong> [latex](x,y)[\/latex] tells the location of a point relative to the point\u2019s location along the horizontal <em>x<\/em>-axis and along the vertical <em>y<\/em>-axis.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">To graph a linear equation, create a table of values for <em>x<\/em> and <em>y<\/em>, and then plot these ordered pairs on the coordinate plane. Then draw a line through the points.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The <strong>slope-intercept form<\/strong> for the equation of a line is [latex]y=mx+b[\/latex] where <em>m<\/em> and <em>b<\/em> are real numbers, <em>m<\/em> = slope and <em>b<\/em> = <em>y<\/em>-intercept.<\/li>\n<\/ul>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The <strong>slope<\/strong> of a line, m, represents the change in y over the change in <em>x<\/em>. Given two points, [latex](x_1, y_1)[\/latex] and [latex](x_2, y2)[\/latex], the slope of the line is [latex]m=\\frac{y_2-y_1}{x_2-x_1}[\/latex]. If <em>x<\/em> increases by 1 unit, <em>y<\/em> changes by <em>m<\/em> units.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The <strong><em>y<\/em>-intercept<\/strong>, <em>b<\/em>, is the point where the line crosses the <em>y<\/em>-axis. The <em>y<\/em>-intercept tells us the value of <em>y<\/em> when <em>x<\/em> = 0.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><strong>Origin:<\/strong>\u00a0the point where the horizontal and vertical axes intersect at 0 on the <em>x<\/em>-axis and 0 on the <em>y<\/em>-axis<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><strong>Quadrants:<\/strong> the four sections of the coordinate plane formed by the intersection of the <em>x<\/em>&#8211; and <em>y<\/em>-axes<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><strong>Linear relationship:<\/strong> a relationship between variables such that when plotted on a coordinate plane, the points lie on a line<\/li>\n<\/ul>\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-2380\">\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=\"https:\/\/openstax.org\/books\/college-algebra\/pages\/1-introduction-to-prerequisites\">https:\/\/openstax.org\/books\/college-algebra\/pages\/1-introduction-to-prerequisites<\/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>: Access for free at https:\/\/openstax.org\/books\/college-algebra\/pages\/1-introduction-to-prerequisites<\/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":169134,"menu_order":6,"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\":\"https:\/\/openstax.org\/books\/college-algebra\/pages\/1-introduction-to-prerequisites\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/college-algebra\/pages\/1-introduction-to-prerequisites\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2380","chapter","type-chapter","status-publish","hentry"],"part":303,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2380","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2380\/revisions"}],"predecessor-version":[{"id":3971,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2380\/revisions\/3971"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/303"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2380\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2380"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2380"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2380"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}