document.write( "Question 150842: choose the equation of the line parallel to the line 5 = -10x - 10y that passes through the point (-2, 1). \n" ); document.write( "
Algebra.Com's Answer #110792 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "For two lines to be parallel, both lines MUST have the same slope. \n" ); document.write( "To find the slope of the given equation, modify it into the \"slope-intercept\" form of: \n" ); document.write( "y = mx + b \n" ); document.write( "where \n" ); document.write( "m is the slope \n" ); document.write( "b is the y-intercept at (0,b) \n" ); document.write( ". \n" ); document.write( "5 = -10x - 10y \n" ); document.write( "10y + 5 = -10x \n" ); document.write( "10y = -10x - 5 \n" ); document.write( "y = -x - 5 \n" ); document.write( ". \n" ); document.write( "From the above we know the slope is a -1. \n" ); document.write( "Now to find the 'y-intercept' of the new line, use that fact AND the given point of (-2, 1) to plug it back into: \n" ); document.write( "y = mx + b \n" ); document.write( "1 = (-1)(-2) + b \n" ); document.write( "1 = 2 + b \n" ); document.write( "-1= b \n" ); document.write( ". \n" ); document.write( "Recapping, we have: \n" ); document.write( "m = -1 \n" ); document.write( "b = -1 \n" ); document.write( "therefore the equation is: \n" ); document.write( "y = mx + b \n" ); document.write( "y = -x -1 (this is the equation) \n" ); document.write( " \n" ); document.write( " |