document.write( "Question 567977: Equation of the line perpendicular to 4x-6y=5 containing (4,2)\r
\n" ); document.write( "\n" ); document.write( "-6y=-4x+5
\n" ); document.write( "y=-4/6x+-5/6
\n" ); document.write( "y=2/3x-5/6
\n" ); document.write( "m=2/3 \r
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\n" ); document.write( "\n" ); document.write( "y=-3/2x+b
\n" ); document.write( "2=-3/2(4)+b
\n" ); document.write( "2=-12/2+b
\n" ); document.write( "2=-6+b
\n" ); document.write( "y=-3/2x+8
\n" ); document.write( "
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\n" ); document.write( "Find the coordinates of the point of intersection of the perpendicular lines in the problem above. \r
\n" ); document.write( "\n" ); document.write( "Would love to see this step by step how to solve this, as I have many more problems just like it.
\n" ); document.write( "Thank you so much!
\n" ); document.write( "Joy
\n" ); document.write( "

Algebra.Com's Answer #366842 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
I agree with your solution so far, except that I would write
\n" ); document.write( "y=-4/(-6x)+-5/6 where I read y=-4/6x+-5/6
\n" ); document.write( "I guess it was somehow changed in entering it, but y=2/3x-5/6 anyway.\r
\n" ); document.write( "\n" ); document.write( "With \"4x-6y=5\" and \"y=-%283%2F2%29x%2B8\", we can substitute and get
\n" ); document.write( "\"4x-6%28-%283%2F2%29x%2B8%29=5\" --> \"4x%2B9x-48=5\" --> \"13x-48=5\" --> \"13x=53\" --> \"highlight%28x=53%2F13%29\"
\n" ); document.write( "\"y=-%283%2F2%29%2853%2F13%29%2B8\" --> \"y=-159%2F26%2B8\" --> \"y=-159%2F26%2B8\" --> \"y=-159%2F26%2B208%2F26\" --> \"highlight%28y=49%2F26%29\"
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