{"id":4601,"date":"2017-06-07T18:52:40","date_gmt":"2017-06-07T18:52:40","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/aacc-collegealgebrafoundations\/chapter\/read-plot-ordered-pairs\/"},"modified":"2017-08-16T02:44:21","modified_gmt":"2017-08-16T02:44:21","slug":"read-plot-ordered-pairs","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/aacc-collegealgebrafoundations\/chapter\/read-plot-ordered-pairs\/","title":{"raw":"Plot Ordered Pairs","rendered":"Plot Ordered Pairs"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Objectives<\/h3>\r\n<ul>\r\n \t<li>Plot Ordered Pairs\r\n<ul>\r\n \t<li>Identify the components of the coordinate plane<\/li>\r\n \t<li>Plot ordered pairs on the coordinate plane<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h2 id=\"Introduction\" class=\"no-indent\" style=\"text-align: left\"><span style=\"color: #5093ba\">The Components of the Coordinate Plane<\/span><\/h2>\r\nYou have likely used a coordinate plane before. For example, have you ever used a gridded overlay to map the position of an object? (This is often done with road maps, too.)\r\n\r\n<img class=\"alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185228\/image001.jpg\" alt=\"A picture of a manhole that says Drain and a small blue object. The picture has a grid overlaying it, with the columns labeled at the top A through F. On the left, each row is labeled with 1 through 6. The small blue object is in square 4F.\" width=\"248\" height=\"251\" \/>\r\n\r\nThis \u201cmap\u201d uses a horizontal and vertical grid to convey information about an object\u2019s location. Notice that the letters A\u2013F are listed along the top, and the numbers 1\u20136 are listed along the left edge. The general location of any item on this map can be found by using the letter and number of its grid square. For example, you can find the item that exists at square \u201c4F\u201d by moving your finger along the horizontal to letter F and then straight down so you are in line with the 4. You\u2019ll find a blue disc is at this location on the map.\r\n\r\nThe coordinate plane has similar elements to the grid shown above. It consists of a horizontal <b>axis<\/b> 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\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185230\/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 <b>x-axis<\/b>. The vertical axis is called the <b>y-axis<\/b>. The point at which the two axes intersect is called the <b>origin<\/b>. The origin is at 0 on the <i>x-<\/i>axis and 0 on the <i>y-<\/i>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 <i>x-<\/i>axis (the first value of the ordered pair) and along the <i>y<\/i>-axis (the second value of the ordered pair).\r\n\r\nIn an ordered pair, such as (<i>x<\/i>, <i>y<\/i>), the first value is called the <b>x-coordinate<\/b> and the second value is the <b>y-coordinate<\/b>. Note that the <i>x-<\/i>coordinate is listed before the <i>y-<\/i>coordinate. Since the origin has an <i>x-<\/i>coordinate of 0 and a <i>y-<\/i>coordinate of 0, its ordered pair is written (0, 0).\r\n\r\nConsider the point below.\r\n\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185232\/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 (0, 0) and move right along the <i>x-<\/i>axis until you are under the point. Look at the label on the <i>x-<\/i>axis. The 4 indicates that, from the origin, you have traveled four units to the right along the <i>x<\/i>-axis. This is the <i>x-<\/i>coordinate, the first number in the ordered pair.\r\n\r\nFrom 4 on the <i>x-<\/i>axis move up to the point and notice the number with which it aligns on the <i>y-<\/i>axis. The 3 indicates that, after leaving the <i>x<\/i>-axis, you traveled 3 units up in the vertical direction, the direction of the <i>y<\/i>-axis. This number is the <i>y-<\/i>coordinate, the second number in the ordered pair. With an <i>x-<\/i>coordinate of 4 and a <i>y-<\/i>coordinate of 3, you have the ordered pair (4, 3).\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\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185235\/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=\"668288\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"668288\"]\r\n\r\nBegin at the origin and move along the <i>x-<\/i>axis. This is the <i>x-<\/i>coordinate and is written first in the ordered pair.\r\n<p style=\"text-align: center\">(5, <i>y<\/i>)<\/p>\r\nMove from 5 up to the ordered pair and read the number on the <i>y-<\/i>axis. This is the <i>y-<\/i>coordinate and is written second in the ordered pair.\r\n<p style=\"text-align: center\">(5, 2)<\/p>\r\n\r\n<h4>Answer<\/h4>\r\nThe point shown as an ordered pair is (5, 2).[\/hidden-answer]\r\n\r\n<\/div>\r\n<h2><span style=\"color: #5093ba\">Describe the point shown as an ordered pair<\/span><\/h2>\r\nhttps:\/\/youtu.be\/c9WVU34MY5Q\r\n<h2 class=\"no-indent\" style=\"text-align: left\"><span style=\"color: #5093ba\">Plotting Points in the Coordinate Plane<\/span><\/h2>\r\nNow that you know how to use the <i>x-<\/i> and <i>y-<\/i>axes, you can plot an ordered pair as well. Just remember, both processes start at the origin\u2014the beginning! The example that follows shows how to graph the ordered pair (1,3).\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nPlot the point (1, 3).\r\n\r\n[reveal-answer q=\"28562\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"28562\"]\r\n\r\nThe <i>x-<\/i>coordinate is 1 because it comes first in the ordered pair. Start at the origin and move a distance of 1 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 3 because it comes second in the ordered pair. From here move directly 3 units in a positive direction (up). If you look over to the <i>y-<\/i>axis, you should be lined up with 3 on that axis.\r\n<h4>Answer<\/h4>\r\nDraw a point at this location and label the point (1, 3).<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185237\/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\" \/>[\/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<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185239\/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 4 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 2 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\n[reveal-answer q=\"118522\"]<b>Show Answer<\/b>[\/reveal-answer]\r\n[hidden-answer a=\"118522\"]Draw a point at this location and label the point [latex](\u22124,\u22122)[\/latex].[\/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<\/ul>\r\n<\/div>\r\n<p class=\"no-indent\" style=\"text-align: left\"><span style=\"color: #5093ba\"><span style=\"color: #000000\">Here are some more examples with plotting points on the coordinate plane. <\/span>\r\n<\/span><\/p>\r\nhttps:\/\/youtu.be\/p_MESleS3mw","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Objectives<\/h3>\n<ul>\n<li>Plot Ordered Pairs\n<ul>\n<li>Identify the components of the coordinate plane<\/li>\n<li>Plot ordered pairs on the coordinate plane<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<h2 id=\"Introduction\" class=\"no-indent\" style=\"text-align: left\"><span style=\"color: #5093ba\">The Components of the Coordinate Plane<\/span><\/h2>\n<p>You have likely used a coordinate plane before. For example, have you ever used a gridded overlay to map the position of an object? (This is often done with road maps, too.)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185228\/image001.jpg\" alt=\"A picture of a manhole that says Drain and a small blue object. The picture has a grid overlaying it, with the columns labeled at the top A through F. On the left, each row is labeled with 1 through 6. The small blue object is in square 4F.\" width=\"248\" height=\"251\" \/><\/p>\n<p>This \u201cmap\u201d uses a horizontal and vertical grid to convey information about an object\u2019s location. Notice that the letters A\u2013F are listed along the top, and the numbers 1\u20136 are listed along the left edge. The general location of any item on this map can be found by using the letter and number of its grid square. For example, you can find the item that exists at square \u201c4F\u201d by moving your finger along the horizontal to letter F and then straight down so you are in line with the 4. You\u2019ll find a blue disc is at this location on the map.<\/p>\n<p>The coordinate plane has similar elements to the grid shown above. It consists of a horizontal <b>axis<\/b> 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\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185230\/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 <b>x-axis<\/b>. The vertical axis is called the <b>y-axis<\/b>. The point at which the two axes intersect is called the <b>origin<\/b>. The origin is at 0 on the <i>x-<\/i>axis and 0 on the <i>y-<\/i>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 <i>x-<\/i>axis (the first value of the ordered pair) and along the <i>y<\/i>-axis (the second value of the ordered pair).<\/p>\n<p>In an ordered pair, such as (<i>x<\/i>, <i>y<\/i>), the first value is called the <b>x-coordinate<\/b> and the second value is the <b>y-coordinate<\/b>. Note that the <i>x-<\/i>coordinate is listed before the <i>y-<\/i>coordinate. Since the origin has an <i>x-<\/i>coordinate of 0 and a <i>y-<\/i>coordinate of 0, its ordered pair is written (0, 0).<\/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\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185232\/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 (0, 0) and move right along the <i>x-<\/i>axis until you are under the point. Look at the label on the <i>x-<\/i>axis. The 4 indicates that, from the origin, you have traveled four units to the right along the <i>x<\/i>-axis. This is the <i>x-<\/i>coordinate, the first number in the ordered pair.<\/p>\n<p>From 4 on the <i>x-<\/i>axis move up to the point and notice the number with which it aligns on the <i>y-<\/i>axis. The 3 indicates that, after leaving the <i>x<\/i>-axis, you traveled 3 units up in the vertical direction, the direction of the <i>y<\/i>-axis. This number is the <i>y-<\/i>coordinate, the second number in the ordered pair. With an <i>x-<\/i>coordinate of 4 and a <i>y-<\/i>coordinate of 3, you have the ordered pair (4, 3).<\/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\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185235\/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=\"q668288\">Show Solution<\/span><\/p>\n<div id=\"q668288\" class=\"hidden-answer\" style=\"display: none\">\n<p>Begin at the origin and move along the <i>x-<\/i>axis. This is the <i>x-<\/i>coordinate and is written first in the ordered pair.<\/p>\n<p style=\"text-align: center\">(5, <i>y<\/i>)<\/p>\n<p>Move from 5 up to the ordered pair and read the number on the <i>y-<\/i>axis. This is the <i>y-<\/i>coordinate and is written second in the ordered pair.<\/p>\n<p style=\"text-align: center\">(5, 2)<\/p>\n<h4>Answer<\/h4>\n<p>The point shown as an ordered pair is (5, 2).<\/p><\/div>\n<\/div>\n<\/div>\n<h2><span style=\"color: #5093ba\">Describe the point shown as an ordered pair<\/span><\/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 class=\"no-indent\" style=\"text-align: left\"><span style=\"color: #5093ba\">Plotting Points in the Coordinate Plane<\/span><\/h2>\n<p>Now that you know how to use the <i>x-<\/i> and <i>y-<\/i>axes, you can plot an ordered pair as well. Just remember, both processes start at the origin\u2014the beginning! The example that follows shows how to graph the ordered pair (1,3).<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>Plot the point (1, 3).<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q28562\">Show Solution<\/span><\/p>\n<div id=\"q28562\" class=\"hidden-answer\" style=\"display: none\">\n<p>The <i>x-<\/i>coordinate is 1 because it comes first in the ordered pair. Start at the origin and move a distance of 1 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 3 because it comes second in the ordered pair. From here move directly 3 units in a positive direction (up). If you look over to the <i>y-<\/i>axis, you should be lined up with 3 on that axis.<\/p>\n<h4>Answer<\/h4>\n<p>Draw a point at this location and label the point (1, 3).<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185237\/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\" \/><\/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<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2011\/2017\/06\/07185239\/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 4 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 2 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<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q118522\"><b>Show Answer<\/b><\/span><\/p>\n<div id=\"q118522\" class=\"hidden-answer\" style=\"display: none\">Draw a point at this location and label the point [latex](\u22124,\u22122)[\/latex].<\/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<\/ul>\n<\/div>\n<p class=\"no-indent\" style=\"text-align: left\"><span style=\"color: #5093ba\"><span style=\"color: #000000\">Here are some more examples with plotting points on the coordinate plane. <\/span><br \/>\n<\/span><\/p>\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-4601\">\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>Determine the Ordered Pairs for Points Plotted on the Coordinate Plane. <strong>Authored by<\/strong>: mathispower4u. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/c9WVU34MY5Q\">https:\/\/youtu.be\/c9WVU34MY5Q<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/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><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Unit 13: Graphing, from Developmental Math: An Open Program. <strong>Provided by<\/strong>: Monterey Institute of Technology. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/nrocnetwork.org\/dm-opentext\">http:\/\/nrocnetwork.org\/dm-opentext<\/a>. <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>\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":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Determine the Ordered Pairs for Points Plotted on the Coordinate 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