document.write( "Question 697102: Find the equation of line passing through the point of intersection of the lines y=x and x+y=6 and which is perpendicular to 3x+6y=12 \n" ); document.write( "
Algebra.Com's Answer #429664 by lwsshak3(11628)\"\" \"About 
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Find the equation of line passing through the point of intersection of the lines y=x and x+y=6 and which is perpendicular to 3x+6y=12
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\n" ); document.write( "y=x
\n" ); document.write( "x+y=6
\n" ); document.write( "..
\n" ); document.write( "x+x=6
\n" ); document.write( "2x=6
\n" ); document.write( "x=3
\n" ); document.write( "y=3
\n" ); document.write( "point of intersection: (3,3)
\n" ); document.write( "..
\n" ); document.write( "Given line
\n" ); document.write( "3x+6y=12
\n" ); document.write( "6y=-3x+12
\n" ); document.write( "y=-3x/6+12/6
\n" ); document.write( "y=-x/2+2
\n" ); document.write( "slope,m=-1/2
\n" ); document.write( "..
\n" ); document.write( "slope of line perpendicular to slope of given line=2 (negative reciprocal)
\n" ); document.write( "equation:
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=2x+b
\n" ); document.write( "solve for b using coordinates of the point of intersection(3,3)
\n" ); document.write( "3=2*3+b
\n" ); document.write( "b=-3
\n" ); document.write( "Equation: y=2x-3 (ans.) \n" ); document.write( "
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