document.write( "Question 1186979: Find the equation of the line having slope −2 and x -intercept of 5 .\r
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document.write( "You may enter your equation in either the slope-intercept or point-slope form. Make sure to enclose fractions in parentheses, for example: y = (9/2)*x+(5/2). \n" );
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Algebra.Com's Answer #817930 by Theo(13342)![]() ![]() You can put this solution on YOUR website! slope intercept form of the equation is y = mx + b \n" ); document.write( "m is the slope \n" ); document.write( "b is the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with a slope of -2, the equation becomes y = -2 * x + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that the line has an x-intercept of 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the x-intercept is the value of x when the value of y is 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be the coordinate point of (5,0).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "what this says is that one of the points on the line is at (5,0).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with a slope of -2, this says that the value of y goes down 2 units when the value of x goes to the right 1 unit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's because the slope is the change in the value of y divided by the corresponding change in the value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope of -2 assumes you are going from left to right on the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to get to the origin (the point 0,0), the x-value of the coordinate point of (5,0) must go to the left 5 units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the change in x is -5 units, then the change in y is -2 times that = 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are going from (5,0) to (0,10).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the coordinate point of (0,10) is the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the y-intercept is the value of y when the value of x is 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope intercept form of the equation for the straight line becomes y = -2 * x + 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope is -2. \n" ); document.write( "the y-intercept is 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's what it looks like on a graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |