{"id":143933,"date":"2022-07-21T14:32:01","date_gmt":"2022-07-21T09:02:01","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=143933"},"modified":"2022-07-01T10:39:17","modified_gmt":"2022-07-01T05:09:17","slug":"plotting-a-point-in-cartesian-plane","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/plotting-a-point-in-cartesian-plane\/","title":{"rendered":"Plotting a Point in Cartesian Plane and Determining the Quadrants | How to draw a Cartesian Plane and Label Points on Graph?"},"content":{"rendered":"<p>Plotting a Point in Cartesian Plane is very easy if you know how to draw a cartesian plane in a <a href=\"https:\/\/ccssanswers.com\/coordinate-geometry-graph\/\">coordinate geometry graph<\/a>. A cartesian graph is an intersection of two points at O. They are represented by two numbers in parentheses, separated by a comma that is called coordinates. Learn more about the cartesian plane from here and know how to draw a cartesian plane and then plot points on the cartesian graph. Scroll down this page to learn plotting points on a cartesian plane with solved examples.<\/p>\n<p><strong>Read Articles:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/ccssanswers.com\/worksheet-on-plotting-points-in-the-coordinate-plane\/\">Worksheet on Plotting Points in the Coordinate Plane<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/quadrants-and-convention-for-signs-of-coordinates\/\">Quadrants and Convention for Signs of Coordinates<\/a><\/li>\n<\/ul>\n<h2>What is Cartesian Plane?<\/h2>\n<p>The cartesian plane is a representation of the position of a point by referring to it in terms of x-axis horizontal line and y-axis vertical line respectively. The point of intersection of x-axes and y-axes is known as the origin. The origin is represented by the letter &#8216;O&#8217;. The coordinates have two values the first number represents the x-coordinate and the second number represents the y-coordinate.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-124978\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2022\/01\/Cartesian-Plane_1-300x211.png\" alt=\"Cartesian Plane_1\" width=\"300\" height=\"211\" \/><\/p>\n<h3>How to Plot Points in Cartesian Plan?<\/h3>\n<ol>\n<li>First, check the signs of the<a href=\"https:\/\/eurekamathanswerkeys.com\/coordinates-of-a-point\/\"> coordinates of a point<\/a> and then identify the quadrant in which the point is to be plotted.<\/li>\n<li>Take the rectangular cartesian frames XOX&#8217; and YOY&#8217; intersecting at the right angles at origin &#8216;O&#8217;.<\/li>\n<li>Take a point P on the x-axis on the side of the involved quadrant such that the distance of the point P from the origin O equals the value of the x-coordinate.<\/li>\n<li>Draw a perpendicular line PQ on the x-axis. Take a point M on this perpendicular such that PM is equal to the value of the y-coordinate and M in the relevant quadrant. Thus the point M is plotted as per the given coordinate points.<\/li>\n<\/ol>\n<h3>Plotting a Point in Cartesian Plane Examples<\/h3>\n<p>Plot the following points in the cartesian plane then identify which quadrant or axis it belongs<\/p>\n<p><strong>Example 1.<\/strong><br \/>\nPlot the points (3,4) in the Cartesian plane.<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven that the points are (3,4)<br \/>\nHere the x-coordinate is 3 and the y-coordinate is 4.<br \/>\n(3, 4) is a point in the first quadrant because both the coordinates are positive.<br \/>\nNow plot the graph using the coordinates (3,4)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-124979\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2022\/01\/Cartesian-Plane_2-300x208.png\" alt=\"Cartesian Plane_2\" width=\"300\" height=\"208\" \/><\/p>\n<p><strong>Example 2.<\/strong><br \/>\nPlot the points (5,-6) in the Cartesian plane.<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven that the points are (5,-6)<br \/>\nHere the x-coordinate is 5 and the y-coordinate is -6.<br \/>\n(5, -6) is a point in the fourth quadrant because both the coordinates are positive.<br \/>\nNow plot the graph using the coordinates (5,-6)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-124980\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2022\/01\/Cartesian-Plane_3-300x213.png\" alt=\"Cartesian Plane_3\" width=\"300\" height=\"213\" \/><\/p>\n<p><strong>Example 3.<\/strong><br \/>\nPlot the points (-7,-8) in the Cartesian plane.<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven that the points are (-7,-8)<br \/>\nHere the x-coordinate is -7 and the y-coordinate is -8.<br \/>\n(-7, -8) is a point in the third quadrant because both the coordinates are positive.<br \/>\nNow plot the graph using the coordinates (-7,-8)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-124981\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2022\/01\/Cartesian-Plane_4-300x268.png\" alt=\"Cartesian Plane_4\" width=\"300\" height=\"268\" \/><\/p>\n<p><strong>Example 4.<\/strong><br \/>\nPlot the points (-9,2) in the Cartesian plane.<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven that the points are (-9,2)<br \/>\nHere the x-coordinate is -9 and the y-coordinate is 2.<br \/>\n(-9, 2) is a point in the second quadrant because both the coordinates are positive.<br \/>\nNow plot the graph using the coordinates (-9,2)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-124982\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2022\/01\/Cartesian-Plane_5-300x113.png\" alt=\"Cartesian Plane_5\" width=\"300\" height=\"113\" \/><\/p>\n<p><strong>Example 5.<\/strong><br \/>\nPlot the points (1,1) in the Cartesian plane.<br \/>\n<strong>Solution:<\/strong><br \/>\nGiven that the points are (1,1)<br \/>\nHere the x-coordinate is 1 and the y-coordinate is 1.<br \/>\n(1, 1) is a point in the first quadrant because both the coordinates are positive.<br \/>\nNow plot the graph using the coordinates (1,1).<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-124983\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2022\/01\/Cartesian-Plane_6-300x143.png\" alt=\"Cartesian Plane_6\" width=\"300\" height=\"143\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Plotting a Point in Cartesian Plane is very easy if you know how to draw a cartesian plane in a coordinate geometry graph. A cartesian graph is an intersection of two points at O. They are represented by two numbers in parentheses, separated by a comma that is called coordinates. Learn more about the cartesian &#8230; <a title=\"Plotting a Point in Cartesian Plane and Determining the Quadrants | How to draw a Cartesian Plane and Label Points on Graph?\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/plotting-a-point-in-cartesian-plane\/\" aria-label=\"More on Plotting a Point in Cartesian Plane and Determining the Quadrants | How to draw a Cartesian Plane and Label Points on Graph?\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/143933"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=143933"}],"version-history":[{"count":2,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/143933\/revisions"}],"predecessor-version":[{"id":143935,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/143933\/revisions\/143935"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=143933"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=143933"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=143933"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}