document.write( "Question 163059: WRITE THE EQUATION OF A LINE IN THE FORM Ax+By=C THROUGH THE POINT (-5,-3) AND PERPENDICULAR TO THE LINE y=- 2OVER3x+6 \n" ); document.write( "
Algebra.Com's Answer #120171 by Fombitz(32388)\"\" \"About 
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Perpendicular lines have slopes that are negative reciprocals of each other.
\n" ); document.write( "The slope of the first line is
\n" ); document.write( "\"m%5B1%5D=-2%2F3\"
\n" ); document.write( "Then
\n" ); document.write( "\"m%5B1%5Dm%5B2%5D=-1\"
\n" ); document.write( "\"-%282%2F3%29m%5B2%5D=-1\"
\n" ); document.write( "\"m%5B2%5D=3%2F2\"
\n" ); document.write( "Now we have the slope of the second line and a point on the line.
\n" ); document.write( "Use the point-slope form of a line.
\n" ); document.write( "\"y-y%5Bp%5D=m%28x-x%5Bp%5D%29\"
\n" ); document.write( "\"y-%28-3%29=%283%2F2%29%28x-%28-5%29%29\"
\n" ); document.write( "\"y%2B3=%283%2F2%29%28x%2B5%29\"
\n" ); document.write( "Multiply both sides by 2 and distribute,
\n" ); document.write( "\"2y%2B6=3x%2B15\"
\n" ); document.write( "\"-3x%2B2y=11\"
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