{"id":535,"date":"2021-08-03T12:04:49","date_gmt":"2021-08-03T12:04:49","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=535"},"modified":"2022-01-18T19:51:38","modified_gmt":"2022-01-18T19:51:38","slug":"plot-ordered-pairs","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/plot-ordered-pairs\/","title":{"raw":"Plot Ordered Pairs","rendered":"Plot Ordered Pairs"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Plot points in the coordinate plane<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h2 id=\"Introduction\" class=\"no-indent\" style=\"text-align: left;\">The Components of the Coordinate Plane<\/h2>\r\nYou may have used a coordinate plane before. In this section we\u2019ll review how to identify the coordinates of points in the coordinate plane, and plot points in the coordinate plane.\r\n\r\nThe coordinate plane consists of a horizontal <strong>axis<\/strong> and a vertical axis, number lines that intersect at right angles. (They are perpendicular to each other.)\r\n\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064227\/image002.jpg\" alt=\"A graph with an x-axis running horizontally and a y-axis running vertically. The location where these axes cross is labeled the origin, and is the point zero, zero. The axes also divide the graph into four equal quadrants. The top right area is quadrant one. The top left area is quadrant two. The bottom left area is quadrant three. The bottom right area is quadrant four.\" width=\"417\" height=\"378\" \/>\r\n\r\nThe horizontal axis in the coordinate plane is called the [latex]x[\/latex]-axis. The vertical axis is called the [latex]y[\/latex]-axis. The point at which the two axes intersect is called the <b>origin<\/b>. The origin is at [latex]0[\/latex] on the [latex]x[\/latex]-axis and [latex]0[\/latex] on the [latex]y[\/latex]-axis.\r\n\r\nLocations on the coordinate plane are described as <b>ordered pairs<\/b>. An ordered pair tells you the location of a point by relating the point\u2019s location along the [latex]x[\/latex]-axis\u00a0(the first value of the ordered pair) and along the [latex]y[\/latex]-axis (the second value of the ordered pair).\r\n\r\nIn an ordered pair, such as [latex](x, y)[\/latex], the first value is called the <strong><em>x-<\/em><\/strong><b>coordinate<\/b> and the second value is the <b><em>y<\/em>-coordinate<\/b>. The origin is the ordered pair [latex](0,0)[\/latex]. The <em>x<\/em>-coordinate of a point describes its horizontal position, and the <em>y<\/em>-coordinate describes its vertical position.\r\n\r\n<span style=\"color: #ff0000;\">Note:<\/span>\u00a0An ordered pair, such as [latex](3,2)[\/latex], represents one single point on the graph. It is different than the ordered pair [latex](2,3)[\/latex]. Two ordered pairs represent the same point only when their [latex]x[\/latex]-coordinates are the same and their [latex]y[\/latex]-coordinates are the same.\r\n\r\nConsider the point below.\r\n\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064228\/image003-1.jpg\" alt=\"Grid with x-axis and y-axis. A blue dotted line extends from the origin, which is the point (0,0) along the horizontal x-axis to 4. A red dotted line goes up vertically from 4 on the x-axis to 3 on the y-axis. That point is labeled (4, 3).\" width=\"417\" height=\"378\" \/>\r\n\r\nTo identify the location of this point, start at the origin [latex](0, 0)[\/latex] and move right along the [latex]x[\/latex]-axis until you are under the point. Look at the label on the [latex]x[\/latex]-axis. The [latex]4[\/latex] indicates that, from the origin, you have traveled four units to the right along the [latex]x[\/latex]-axis. This is the [latex]x[\/latex]-coordinate, the first number in the ordered pair.\r\n\r\nNow move to the point and notice the number it aligns on the [latex]y[\/latex]-axis. The [latex]3[\/latex] indicates that, after leaving the [latex]x[\/latex]-axis, you traveled [latex]3[\/latex] units up in the vertical direction, the direction of the [latex]y[\/latex]-axis. This number is the [latex]y[\/latex]-coordinate, the second number in the ordered pair. With an [latex]x[\/latex]-coordinate of [latex]4[\/latex] and a [latex]y[\/latex]-coordinate of [latex]3[\/latex], you have the ordered pair [latex](4, 3)[\/latex].\r\n\r\nLet\u2019s look at another example.\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nDescribe the point shown as an ordered pair.\r\n\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064229\/image004-1.jpg\" alt=\"A point that is 2 spaces above the x-axis and 5 spaces to the right of the y-axis.\" width=\"417\" height=\"378\" \/>\r\n\r\n[reveal-answer q=\"267247\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"267247\"]\r\n\r\nFrom the origin, we need to move [latex]5[\/latex] units to the right along the [latex]x[\/latex]-axis to line up with the point.\u00a0 So the [latex]x[\/latex]-coordinate is [latex]5[\/latex]. Then we need to move up [latex]2[\/latex] units vertically (the direction of the [latex]y[\/latex]-axis) to get to the point.\u00a0 Therefore, the ordered pair [latex](5,2)[\/latex] describes the point.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<h2>Describe the Point Shown as an Ordered Pair<\/h2>\r\nhttps:\/\/youtu.be\/c9WVU34MY5Q\r\n<h2 id=\"Plotting Points in the Coordinate Plane\" class=\"no-indent\" style=\"text-align: left;\">Plotting Points in the Coordinate Plane<\/h2>\r\nYou can plot an ordered pair by starting at the origin. Move horizontally the number of units given by the [latex]x[\/latex]-coordinate, and then vertically the number of units given by the [latex]y[\/latex]-coordinate. The example that follows shows how to graph the ordered pair [latex](1,3)[\/latex].\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nPlot the point [latex](1, 3)[\/latex].\r\n\r\n[reveal-answer q=\"91553\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"91553\"]\r\n\r\nThe <i>x-<\/i>coordinate is [latex]1[\/latex] because it comes first in the ordered pair. Start at the origin and move a distance of [latex]1[\/latex] unit in a positive direction (to the right) from the origin along the <i>x-<\/i>axis.\r\n\r\nThe <i>y-<\/i>coordinate is [latex]3[\/latex] because it comes second in the ordered pair. From here move directly [latex]3[\/latex] units in a positive direction (up). If you look over to the <i>y-<\/i>axis, you should be lined up with [latex]3[\/latex] on that axis.\r\n\r\nDraw a point at this location and label the point [latex](1, 3)[\/latex].<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064232\/image005.jpg\" alt=\"Graph. A blue arrow goes from the origin (the point 0,0) to one unit to the right. A red arrow goes from the blue arrow to 3 units above the x-axis. That point is (1,3).\" width=\"417\" height=\"378\" \/>\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nIn the previous example, both the <i>x-<\/i> and <i>y-<\/i>coordinates were positive. When one (or both) of the coordinates of an ordered pair is negative, you will need to move in the negative direction along one or both axes. Consider the example below in which both coordinates are negative.\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nPlot the point [latex](\u22124,\u22122)[\/latex].\r\n\r\n[reveal-answer q=\"486693\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"486693\"]\r\n\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064233\/image006.jpg\" alt=\"Graph with blue arrow pointing from origin to four units to the left. A red arrow points down 2 spaces to the point negative 4, negative 2.\" width=\"417\" height=\"378\" \/>\r\n\r\nThe <i>x-<\/i>coordinate is [latex]\u22124[\/latex] because it comes first in the ordered pair. Start at the origin and move [latex]4[\/latex] units in a negative direction (left) along the <i>x-<\/i>axis.\r\n\r\nThe <i>y-<\/i>coordinate is [latex]\u22122[\/latex] because it comes second in the ordered pair. Now move [latex]2[\/latex] units in a negative direction (down). If you look over to the <i>y-<\/i>axis, you should be lined up with [latex]\u22122[\/latex] on that axis.\r\n\r\nNow draw a point at that location and label it.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nThe steps for plotting a point are summarized below.\r\n<div class=\"textbox shaded\">\r\n<h3>Steps for Plotting an Ordered Pair (<i>x<\/i>, <i>y<\/i>) in the Coordinate Plane<\/h3>\r\n<ul>\r\n \t<li>Determine the <i>x-<\/i>coordinate. Beginning at the origin, move horizontally, the direction of the <i>x<\/i>-axis, the distance given by the <i>x-<\/i>coordinate. If the <i>x-<\/i>coordinate is positive, move to the right; if the <i>x-<\/i>coordinate is negative, move to the left.<\/li>\r\n \t<li>Determine the <i>y-<\/i>coordinate. Beginning at the <i>x-<\/i>coordinate, move vertically, the direction of the <i>y<\/i>-axis, the distance given by the <i>y-<\/i>coordinate. If the <i>y-<\/i>coordinate is positive, move up; if the <i>y-<\/i>coordinate is negative, move down.<\/li>\r\n \t<li>Draw a point at the ending location. Label the point with the ordered pair.<\/li>\r\n \t<li>An ordered pair is represented by a single point on the graph.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h2 id=\"video2\" class=\"no-indent\" style=\"text-align: left;\">Plotting Points on the Coordinate Plane<\/h2>\r\nhttps:\/\/youtu.be\/p_MESleS3mw","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Plot points in the coordinate plane<\/li>\n<\/ul>\n<\/div>\n<h2 id=\"Introduction\" class=\"no-indent\" style=\"text-align: left;\">The Components of the Coordinate Plane<\/h2>\n<p>You may have used a coordinate plane before. In this section we\u2019ll review how to identify the coordinates of points in the coordinate plane, and plot points in the coordinate plane.<\/p>\n<p>The coordinate plane consists of a horizontal <strong>axis<\/strong> and a vertical axis, number lines that intersect at right angles. (They are perpendicular to each other.)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064227\/image002.jpg\" alt=\"A graph with an x-axis running horizontally and a y-axis running vertically. The location where these axes cross is labeled the origin, and is the point zero, zero. The axes also divide the graph into four equal quadrants. The top right area is quadrant one. The top left area is quadrant two. The bottom left area is quadrant three. The bottom right area is quadrant four.\" width=\"417\" height=\"378\" \/><\/p>\n<p>The horizontal axis in the coordinate plane is called the [latex]x[\/latex]-axis. The vertical axis is called the [latex]y[\/latex]-axis. The point at which the two axes intersect is called the <b>origin<\/b>. The origin is at [latex]0[\/latex] on the [latex]x[\/latex]-axis and [latex]0[\/latex] on the [latex]y[\/latex]-axis.<\/p>\n<p>Locations on the coordinate plane are described as <b>ordered pairs<\/b>. An ordered pair tells you the location of a point by relating the point\u2019s location along the [latex]x[\/latex]-axis\u00a0(the first value of the ordered pair) and along the [latex]y[\/latex]-axis (the second value of the ordered pair).<\/p>\n<p>In an ordered pair, such as [latex](x, y)[\/latex], the first value is called the <strong><em>x-<\/em><\/strong><b>coordinate<\/b> and the second value is the <b><em>y<\/em>-coordinate<\/b>. The origin is the ordered pair [latex](0,0)[\/latex]. The <em>x<\/em>-coordinate of a point describes its horizontal position, and the <em>y<\/em>-coordinate describes its vertical position.<\/p>\n<p><span style=\"color: #ff0000;\">Note:<\/span>\u00a0An ordered pair, such as [latex](3,2)[\/latex], represents one single point on the graph. It is different than the ordered pair [latex](2,3)[\/latex]. Two ordered pairs represent the same point only when their [latex]x[\/latex]-coordinates are the same and their [latex]y[\/latex]-coordinates are the same.<\/p>\n<p>Consider the point below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064228\/image003-1.jpg\" alt=\"Grid with x-axis and y-axis. A blue dotted line extends from the origin, which is the point (0,0) along the horizontal x-axis to 4. A red dotted line goes up vertically from 4 on the x-axis to 3 on the y-axis. That point is labeled (4, 3).\" width=\"417\" height=\"378\" \/><\/p>\n<p>To identify the location of this point, start at the origin [latex](0, 0)[\/latex] and move right along the [latex]x[\/latex]-axis until you are under the point. Look at the label on the [latex]x[\/latex]-axis. The [latex]4[\/latex] indicates that, from the origin, you have traveled four units to the right along the [latex]x[\/latex]-axis. This is the [latex]x[\/latex]-coordinate, the first number in the ordered pair.<\/p>\n<p>Now move to the point and notice the number it aligns on the [latex]y[\/latex]-axis. The [latex]3[\/latex] indicates that, after leaving the [latex]x[\/latex]-axis, you traveled [latex]3[\/latex] units up in the vertical direction, the direction of the [latex]y[\/latex]-axis. This number is the [latex]y[\/latex]-coordinate, the second number in the ordered pair. With an [latex]x[\/latex]-coordinate of [latex]4[\/latex] and a [latex]y[\/latex]-coordinate of [latex]3[\/latex], you have the ordered pair [latex](4, 3)[\/latex].<\/p>\n<p>Let\u2019s look at another example.<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Describe the point shown as an ordered pair.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064229\/image004-1.jpg\" alt=\"A point that is 2 spaces above the x-axis and 5 spaces to the right of the y-axis.\" width=\"417\" height=\"378\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q267247\">Show Answer<\/span><\/p>\n<div id=\"q267247\" class=\"hidden-answer\" style=\"display: none\">\n<p>From the origin, we need to move [latex]5[\/latex] units to the right along the [latex]x[\/latex]-axis to line up with the point.\u00a0 So the [latex]x[\/latex]-coordinate is [latex]5[\/latex]. Then we need to move up [latex]2[\/latex] units vertically (the direction of the [latex]y[\/latex]-axis) to get to the point.\u00a0 Therefore, the ordered pair [latex](5,2)[\/latex] describes the point.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<h2>Describe the Point Shown as an Ordered Pair<\/h2>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Determine the Ordered Pairs for Points Plotted on the Coordinate Plane\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/c9WVU34MY5Q?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2 id=\"Plotting Points in the Coordinate Plane\" class=\"no-indent\" style=\"text-align: left;\">Plotting Points in the Coordinate Plane<\/h2>\n<p>You can plot an ordered pair by starting at the origin. Move horizontally the number of units given by the [latex]x[\/latex]-coordinate, and then vertically the number of units given by the [latex]y[\/latex]-coordinate. The example that follows shows how to graph the ordered pair [latex](1,3)[\/latex].<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Plot the point [latex](1, 3)[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q91553\">Show Answer<\/span><\/p>\n<div id=\"q91553\" class=\"hidden-answer\" style=\"display: none\">\n<p>The <i>x-<\/i>coordinate is [latex]1[\/latex] because it comes first in the ordered pair. Start at the origin and move a distance of [latex]1[\/latex] unit in a positive direction (to the right) from the origin along the <i>x-<\/i>axis.<\/p>\n<p>The <i>y-<\/i>coordinate is [latex]3[\/latex] because it comes second in the ordered pair. From here move directly [latex]3[\/latex] units in a positive direction (up). If you look over to the <i>y-<\/i>axis, you should be lined up with [latex]3[\/latex] on that axis.<\/p>\n<p>Draw a point at this location and label the point [latex](1, 3)[\/latex].<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064232\/image005.jpg\" alt=\"Graph. A blue arrow goes from the origin (the point 0,0) to one unit to the right. A red arrow goes from the blue arrow to 3 units above the x-axis. That point is (1,3).\" width=\"417\" height=\"378\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>In the previous example, both the <i>x-<\/i> and <i>y-<\/i>coordinates were positive. When one (or both) of the coordinates of an ordered pair is negative, you will need to move in the negative direction along one or both axes. Consider the example below in which both coordinates are negative.<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Plot the point [latex](\u22124,\u22122)[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q486693\">Show Answer<\/span><\/p>\n<div id=\"q486693\" class=\"hidden-answer\" style=\"display: none\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/1468\/2016\/02\/04064233\/image006.jpg\" alt=\"Graph with blue arrow pointing from origin to four units to the left. A red arrow points down 2 spaces to the point negative 4, negative 2.\" width=\"417\" height=\"378\" \/><\/p>\n<p>The <i>x-<\/i>coordinate is [latex]\u22124[\/latex] because it comes first in the ordered pair. Start at the origin and move [latex]4[\/latex] units in a negative direction (left) along the <i>x-<\/i>axis.<\/p>\n<p>The <i>y-<\/i>coordinate is [latex]\u22122[\/latex] because it comes second in the ordered pair. Now move [latex]2[\/latex] units in a negative direction (down). If you look over to the <i>y-<\/i>axis, you should be lined up with [latex]\u22122[\/latex] on that axis.<\/p>\n<p>Now draw a point at that location and label it.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>The steps for plotting a point are summarized below.<\/p>\n<div class=\"textbox shaded\">\n<h3>Steps for Plotting an Ordered Pair (<i>x<\/i>, <i>y<\/i>) in the Coordinate Plane<\/h3>\n<ul>\n<li>Determine the <i>x-<\/i>coordinate. Beginning at the origin, move horizontally, the direction of the <i>x<\/i>-axis, the distance given by the <i>x-<\/i>coordinate. If the <i>x-<\/i>coordinate is positive, move to the right; if the <i>x-<\/i>coordinate is negative, move to the left.<\/li>\n<li>Determine the <i>y-<\/i>coordinate. Beginning at the <i>x-<\/i>coordinate, move vertically, the direction of the <i>y<\/i>-axis, the distance given by the <i>y-<\/i>coordinate. If the <i>y-<\/i>coordinate is positive, move up; if the <i>y-<\/i>coordinate is negative, move down.<\/li>\n<li>Draw a point at the ending location. Label the point with the ordered pair.<\/li>\n<li>An ordered pair is represented by a single point on the graph.<\/li>\n<\/ul>\n<\/div>\n<h2 id=\"video2\" class=\"no-indent\" style=\"text-align: left;\">Plotting Points on the Coordinate Plane<\/h2>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Plot Points Given as Ordered Pairs on the Coordinate Plane\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/p_MESleS3mw?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/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-535\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">All rights reserved content<\/div><ul class=\"citation-list\"><li>Determine the Ordered Pairs for Points Plotted on the Coordinate Plane. <strong>Authored by<\/strong>: mathispower4u. <strong>Provided by<\/strong>: https:\/\/youtu.be\/c9WVU34MY5Q. <strong>License<\/strong>: <em>All Rights Reserved<\/em>. <strong>License Terms<\/strong>: Standard YouTube License<\/li><li>Plot Points Given as Ordered Pairs on the Coordinate Plane. <strong>Authored by<\/strong>: mathispower4u. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/p_MESleS3mw\">https:\/\/youtu.be\/p_MESleS3mw<\/a>. <strong>License<\/strong>: <em>All Rights Reserved<\/em>. <strong>License Terms<\/strong>: Standard YouTube License<\/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\":\"copyrighted_video\",\"description\":\"Determine the Ordered Pairs for Points Plotted on the Coordinate Plane\",\"author\":\"mathispower4u\",\"organization\":\"https:\/\/youtu.be\/c9WVU34MY5Q\",\"url\":\"\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"Standard YouTube License\"},{\"type\":\"copyrighted_video\",\"description\":\"Plot Points Given as Ordered Pairs on the Coordinate Plane\",\"author\":\"mathispower4u\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/p_MESleS3mw\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"Standard YouTube License\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-535","chapter","type-chapter","status-publish","hentry"],"part":31,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/535","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":18,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/535\/revisions"}],"predecessor-version":[{"id":3271,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/535\/revisions\/3271"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/31"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/535\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=535"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=535"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=535"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}