{"id":1451,"date":"2021-07-15T22:00:27","date_gmt":"2021-07-15T22:00:27","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/?post_type=chapter&#038;p=1451"},"modified":"2021-07-15T22:02:18","modified_gmt":"2021-07-15T22:02:18","slug":"module-7-summary-review","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/chapter\/module-7-summary-review\/","title":{"raw":"Module 7 Summary Review","rendered":"Module 7 Summary Review"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li>A linear function can be graphed by making a table of inputs and outputs then plotting them as points on a coordinate plane, then drawing a line between them.<\/li>\r\n        <li>The slope of the graph of a linear function can be calculated given any two ordered pairs [latex]\\left(x, f(x)\\right)[\/latex].<\/li>\r\n        <li>The slope of the graph of a linear function by examining whether the function values rise, fall, or remain constant as the function input increases.<\/li>\r\n        <li>The units for the rate of change are given in a ratio of input units over output units.<\/li>\r\n        <li>The slope of the graph of a linear function represents the rate of change in the function values over a given change in input.<\/li>\r\n         \t\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<dl>\r\n        <dt><strong>average rate of change<\/strong><\/dt>\r\n        <dd>the slope of a line between two points on the graph of a function, calculated via a ratio of the change in function output over the corresponding change in function input<\/dd>\r\n \t<dt><strong>ordered pair <\/strong><\/dt>\r\n \t<dd>a coordinate pair of input and output, [latex]\\left(x, f(x)\\right)[\/latex]<\/dd>\t\r\n        <dt><strong>slope <\/strong><\/dt>\r\n \t<dd>a measurement of the steepness of a line graphed in the plane.<\/dd> \r\n        <dt><strong>slope-intercept form <\/strong><\/dt>\r\n \t<dd>[latex]y=mx+b[\/latex]<\/dd>\t\r\n\r\n        \r\n        \r\n        \r\n<\/dl>\r\n","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>A linear function can be graphed by making a table of inputs and outputs then plotting them as points on a coordinate plane, then drawing a line between them.<\/li>\n<li>The slope of the graph of a linear function can be calculated given any two ordered pairs [latex]\\left(x, f(x)\\right)[\/latex].<\/li>\n<li>The slope of the graph of a linear function by examining whether the function values rise, fall, or remain constant as the function input increases.<\/li>\n<li>The units for the rate of change are given in a ratio of input units over output units.<\/li>\n<li>The slope of the graph of a linear function represents the rate of change in the function values over a given change in input.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>average rate of change<\/strong><\/dt>\n<dd>the slope of a line between two points on the graph of a function, calculated via a ratio of the change in function output over the corresponding change in function input<\/dd>\n<dt><strong>ordered pair <\/strong><\/dt>\n<dd>a coordinate pair of input and output, [latex]\\left(x, f(x)\\right)[\/latex]<\/dd>\n<dt><strong>slope <\/strong><\/dt>\n<dd>a measurement of the steepness of a line graphed in the plane.<\/dd>\n<dt><strong>slope-intercept form <\/strong><\/dt>\n<dd>[latex]y=mx+b[\/latex]<\/dd>\n<\/dl>\n","protected":false},"author":167848,"menu_order":13,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1451","chapter","type-chapter","status-publish","hentry"],"part":1407,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1451","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/users\/167848"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1451\/revisions"}],"predecessor-version":[{"id":1452,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1451\/revisions\/1452"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/parts\/1407"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/1451\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/media?parent=1451"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1451"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/contributor?post=1451"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/dcccd-collegealgebracorequisite\/wp-json\/wp\/v2\/license?post=1451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}