document.write( "Question 1148569: write the equation of the line that passes through the point (2, -4) and is perpendicular to the to the line described by x+2y=12 \n" ); document.write( "
Algebra.Com's Answer #769902 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! x +2y = 12 \n" ); document.write( ": \n" ); document.write( "rewrite the line's equation in slope y-intercept form \n" ); document.write( ": \n" ); document.write( "y = -x/2 +6 \n" ); document.write( ": \n" ); document.write( "slope of the line is -1/2 \n" ); document.write( ": \n" ); document.write( "the slope of the line perpendicular to our line is the negative reciprocol \n" ); document.write( ": \n" ); document.write( "slope is -(1/(-1/2)) = 2 \n" ); document.write( ": \n" ); document.write( "using the slope y-intercept form \n" ); document.write( ": \n" ); document.write( "y = 2x +b \n" ); document.write( ": \n" ); document.write( "now subsitute the x coordinate for x and the y coordinate for y using the given point \n" ); document.write( ": \n" ); document.write( "-4 = 2(2) +b \n" ); document.write( ": \n" ); document.write( "b = -8 \n" ); document.write( ": \n" ); document.write( "y = 2x -8 \n" ); document.write( ": \n" ); document.write( "the general form is \n" ); document.write( ": \n" ); document.write( "2x -y = 8 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |