document.write( "Question 429537: write an equation of the line containing the given point and perpendicular to the given line.
\n" ); document.write( " (6,-3), 4x+9y=5
\n" ); document.write( " type your answer in the form y=mx+b and simplify integer a fraction \n" ); document.write( "
Algebra.Com's Answer #298318 by nerdybill(7384)\"\" \"About 
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(6,-3), 4x+9y=5
\n" ); document.write( "First, determine slope of:
\n" ); document.write( "4x+9y=5
\n" ); document.write( "9y=-4x+5
\n" ); document.write( "y=(-4/9)x + 5/9
\n" ); document.write( "slope is -4/9
\n" ); document.write( ".
\n" ); document.write( "A line perpendicular has a \"negative reciprocal\":
\n" ); document.write( "(-4/9)m = -1
\n" ); document.write( "m = 9/4 (slope of our new line)
\n" ); document.write( ".
\n" ); document.write( "using m=9/4 and (6,-3) plug into \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - (-3) = (9/4)(x - 6)
\n" ); document.write( "y + 3 = (9/4)x - (9/4)6
\n" ); document.write( "y + 3 = (9/4)x - (9/2)3
\n" ); document.write( "y + 3 = (9/4)x - 27/2
\n" ); document.write( "y = (9/4)x - 27/2 - 3
\n" ); document.write( "y = (9/4)x - 27/2 - 6/2
\n" ); document.write( "y = (9/4)x - 33/2 (this is what they're looking for)\r
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