document.write( "Question 1032672: Find the equation for the line that passes through the point (−5, 5), and that is perpendicular to the line with the equation −9/4x − 3y = −18 \n" ); document.write( "
Algebra.Com's Answer #647558 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "−9/4x − 3y = −18 \n" ); document.write( "Rearrange to y = mx + c form \n" ); document.write( "-3y = 9/4x - 18 \n" ); document.write( "Multiply throughout by -1 \n" ); document.write( "3y = -9/4x + 18 \n" ); document.write( "Divide throughout by 3 \n" ); document.write( "y = -9/12x + 6 \n" ); document.write( "y = -3/4x + 6 \n" ); document.write( "Lines that are perpendicular to \n" ); document.write( "one another have gradients that \n" ); document.write( "multiply together to give -1 \n" ); document.write( "m1 x m2 = -1 \n" ); document.write( "-3/4 x m2 = -1 \n" ); document.write( "m2 = 4/3 \n" ); document.write( "Using line equation: \n" ); document.write( "y - b = m(x - a) \n" ); document.write( "Where, m = 4/3 and (a,b) = (-5,5) \n" ); document.write( "y - 5 = 4/3(x - (-5)) \n" ); document.write( "y - 5 = 4/3(x + 5) \n" ); document.write( "y - 5 = 4/3x + 20/3 \n" ); document.write( "y = 4/3x + 20/3 + 15/3 (5) \n" ); document.write( "y = 4/3x + 35/3 \n" ); document.write( "or \n" ); document.write( "3y = 4x + 35. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |