document.write( "Question 1012982: Find an equation of the line perpendicular to 2x-3y+3=0 and passing through (2,-5). \n" ); document.write( "

Algebra.Com's Answer #629117 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Put 2x - 3y + 3 into y = mx + c form
\n" ); document.write( "-3y = - 2x - 3
\n" ); document.write( "Multiply both sides by -1
\n" ); document.write( "3y = 2x + 3
\n" ); document.write( "Gradient = 2
\n" ); document.write( "Lines perpendicular to one another
\n" ); document.write( "have gradients that multiply together
\n" ); document.write( "to give -1
\n" ); document.write( "m1 x m2 = -1
\n" ); document.write( "2 x m2 = -1
\n" ); document.write( "m2 = -1/2
\n" ); document.write( "Using the equation of the line
\n" ); document.write( "y - b = m(x - a)
\n" ); document.write( "Where m = -1/2
\n" ); document.write( "and (a,b) = (2, -5)
\n" ); document.write( "y -(-5) = -1/2(x - 2)
\n" ); document.write( "y + 5 = -1/2x + 1
\n" ); document.write( "y = -1/2x + 1 - 5
\n" ); document.write( "y = -1/2x - 4
\n" ); document.write( "y + 1/2x + 4 = 0
\n" ); document.write( "or
\n" ); document.write( "2y + x + 8 = 0 (multiplying
\n" ); document.write( "by 2 to remove fraction)
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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