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)\"\" \"About 
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( "
\n" );