document.write( "Question 1008469: How do you work this out point on the line (4,-2) perpendicular to -2x+3y=-1 \n" ); document.write( "
Algebra.Com's Answer #624132 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "First of all sort out line equation
\n" ); document.write( "into y = mx + c form.
\n" ); document.write( "-2x + 3y = -1
\n" ); document.write( "3y = 2x - 1
\n" ); document.write( "y = 2/3x - 1/3
\n" ); document.write( "Gradient = 2/3
\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( "Line above has 2/3 for a gradient
\n" ); document.write( "2/3 x m2 = -1
\n" ); document.write( "m2 = -3/2
\n" ); document.write( "Using the line equation:
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "Where-
\n" ); document.write( "m = -3/2 and (a,b) = (4,-2)
\n" ); document.write( "y -(-2) = -3/2(x - 4)
\n" ); document.write( "y + 2 = -3/2(x - 4)
\n" ); document.write( "y + 2 = -3/2x + 6
\n" ); document.write( "y = -3/2x + 6 - 2
\n" ); document.write( "y = -3/2x + 4
\n" ); document.write( "This is your answer.
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "
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