document.write( "Question 1101426: how to find the slope or fraction on a graph when thers more than ne coordinate \n" ); document.write( "
Algebra.Com's Answer #715994 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if you are talking about a straight line, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope intercept form of the equation of a straight line is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = mx + b\r \n" ); document.write( " \n" ); document.write( "\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( "the slope is found by the formula -m = (y2 - y1) / (x2 - x1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x1,y1) are one coordinate point on the line. \n" ); document.write( "(x2,y2) are another coordinate point on the line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "once you find the slope, you can find the y-intercept by using one of the coordinate points and the slope.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your coordinate points are (3,5) and (6,10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assign one of the points to (x1,y1) and the other to (x2,y2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i assigned (3,5) to (x1,y1) and (6,10) to (x2,y2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope is (y2 - y1) / (x2 - x1) which is equal to (10 - 5) / (6 - 3) which is equal to 5/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now that you know the slope you can solve for the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation of y = mx + b become y = 5/3 * x + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assign one of the coordinate points to x and y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i chose (6,10).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation of y = 5/3 * x + b becomes 10 = 5/3 * 6 + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 10 = 30/3 + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 30/3 from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10 - 30/3 = b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for b to get b = 30/3 - 30/3 = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation becomes y = 5/3 * x + 0 which becomes y = 5/3 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the y-intercept is the value of y when the value of x is equal to 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to see if your two points are on the equation, graph the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph looks like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the red line is the graph of the equation y = 3/5 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the blue lines are just there to allow me to show you that the coordinate points used to create the line are on the line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they're at (3,5) and (6,10, as they should be.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the y-intercept is at (0,0).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the value of y when the value of x is equal to 0.\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( " |