{"id":8783,"date":"2017-05-26T16:42:17","date_gmt":"2017-05-26T16:42:17","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=8783"},"modified":"2019-05-27T05:54:15","modified_gmt":"2019-05-27T05:54:15","slug":"graphing-with-intercepts","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/graphing-with-intercepts\/","title":{"raw":"Introduction to Plotting Lines on the Rectangular Coordinate System","rendered":"Introduction to Plotting Lines on the Rectangular Coordinate System"},"content":{"raw":"

What you'll learn to do: Plot lines on the rectangular coordinate system using x and y-intercepts<\/h2>\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n
\r\n

readiness quiz<\/h3>\r\n1)\r\n\r\nSolve: [latex]3x+4y=-12[\/latex] for [latex]x[\/latex] when [latex]y=0[\/latex].\r\n\r\nSolution: [latex]x=-4[\/latex]\r\n\r\n2)\r\n\r\n[ohm_question]146919[\/ohm_question]\r\n\r\nIf you missed this problem, review this example.\r\n
Name the ordered pair of each point shown:\"The\r\n[reveal-answer q=\"228616\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"228616\"]Solution\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Point A is on the x<\/em>-axis at [latex]x=-4[\/latex] .<\/td>\r\nThe coordinates of point A are [latex]\\left(-4,0\\right)[\/latex] .<\/td>\r\n<\/tr>\r\n
Point B is on the y<\/em>-axis at [latex]y=-2[\/latex]<\/td>\r\nThe coordinates of point B are [latex]\\left(0,-2\\right)[\/latex] .<\/td>\r\n<\/tr>\r\n
Point C is on the x<\/em>-axis at [latex]x=3[\/latex] .<\/td>\r\nThe coordinates of point C are [latex]\\left(3,0\\right)[\/latex] .<\/td>\r\n<\/tr>\r\n
Point D is on the y-<\/em>axis at [latex]y=1[\/latex] .<\/td>\r\nThe coordinates of point D are [latex]\\left(0,1\\right)[\/latex] .<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n3)\r\n\r\n[ohm_question]146928[\/ohm_question]\r\n\r\nIf you missed this problem, review the example below.\r\n
\r\n\r\nDetermine which ordered pairs are solutions of the equation [latex]x+4y=8\\text{:}[\/latex]\r\n\r\n1. [latex]\\left(0,2\\right)[\/latex]\r\n2. [latex]\\left(2,-4\\right)[\/latex]\r\n3. [latex]\\left(-4,3\\right)[\/latex]\r\n\r\n[reveal-answer q=\"510740\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"510740\"]\r\n\r\nSolution\r\nSubstitute the [latex]x\\text{- and}y\\text{-values}[\/latex] from each ordered pair into the equation and determine if the result is a true statement.\r\n\r\n\r\n\r\n\r\n\r\n
1. [latex]\\left(0,2\\right)[\/latex]<\/td>\r\n2. [latex]\\left(2,-4\\right)[\/latex]<\/td>\r\n3. [latex]\\left(-4,3\\right)[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]x=\\color{blue}{0}, y=\\color{red}{2}[\/latex]\r\n\r\n[latex]x+4y=8[\/latex]\r\n\r\n[latex]\\color{blue}{0}+4\\cdot\\color{red}{2}\\stackrel{?}{=}8[\/latex]\r\n\r\n[latex]0+8\\stackrel{?}{=}8[\/latex]\r\n\r\n[latex]8=8\\checkmark[\/latex]<\/td>\r\n[latex]x=\\color{blue}{2}, y=\\color{red}{-4}[\/latex]\r\n\r\n[latex]x+4y=8[\/latex]\r\n\r\n[latex]\\color{blue}{2}+4(\\color{red}{-4})\\stackrel{?}{=}8[\/latex]\r\n\r\n[latex]2+(-16)\\stackrel{?}{=}8[\/latex]\r\n\r\n[latex]-14\\not=8[\/latex]<\/td>\r\n[latex]x=\\color{blue}{-4}, y=\\color{red}{3}[\/latex]\r\n\r\n[latex]x+4y=8[\/latex]\r\n\r\n[latex]\\color{blue}{-4}+4\\cdot\\color{red}{3}\\stackrel{?}{=}8[\/latex]\r\n\r\n[latex]-4+12\\stackrel{?}{=}8[\/latex]\r\n\r\n[latex]8=8\\checkmark[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]\\left(0,2\\right)[\/latex] is a solution.<\/td>\r\n[latex]\\left(2,-4\\right)[\/latex] is not a solution.<\/td>\r\n[latex]\\left(-4,3\\right)[\/latex] is a solution.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<\/div>","rendered":"

What you’ll learn to do: Plot lines on the rectangular coordinate system using x and y-intercepts<\/h2>\n

Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n

\n

readiness quiz<\/h3>\n

1)<\/p>\n

Solve: [latex]3x+4y=-12[\/latex] for [latex]x[\/latex] when [latex]y=0[\/latex].<\/p>\n

Solution: [latex]x=-4[\/latex]<\/p>\n

2)<\/p>\n