document.write( "Question 1013246: Ashley was given 2 points. (4,-6) and (-2,0)
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document.write( "And was asked to create an equation that represents the line that passes through these points. Write 2 equations.\r
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document.write( "I am drawing a blank on how this is done \n" );
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Algebra.Com's Answer #629444 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! the slope(m) of a line is defined by dividing the difference in y-coordinates by the difference in x-coordinates. We are given two points, therefore \n" ); document.write( "m = (0 - (-6)) / (-2 -4) = 6 / -6 = -1 \n" ); document.write( "the slope intercept for of a line is y = mx + b, therefore \n" ); document.write( "y = -x + b \n" ); document.write( "then we use one of the points, say (4,-6) to find b \n" ); document.write( "-6 = -4 + b \n" ); document.write( "b = -2 \n" ); document.write( "now we have the following \n" ); document.write( "************************************************** \n" ); document.write( "slope intercept form \n" ); document.write( "y = -x -2 and \n" ); document.write( "point slope form \n" ); document.write( "(y-(-6)) = -(x-4) \n" ); document.write( "y+6 = -(x-4) \n" ); document.write( "************************************************** \n" ); document.write( "here is a graph of the line \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |