document.write( "Question 1102497: Find the equation of the line passing through the point (3, 7) and
\n" ); document.write( "perpendicular to the line 3y = 4 – 2x
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Algebra.Com's Answer #717204 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+3y+=+4+-+2x+\"
\n" ); document.write( "\"+3y+=+-2x+%2B+4+\"
\n" ); document.write( "\"+y+=+%28-2%2F3%29%2Ax+%2B+4%2F3+\"
\n" ); document.write( "This is in the form \"+y+=+m%2Ax+%2B+b+\"
\n" ); document.write( "where \"+m+\" = slope, so
\n" ); document.write( "\"+m+=+-2%2F3+\"
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\n" ); document.write( "Any line perpendicular to this line will
\n" ); document.write( "have slope = \"+-1%2Fm+\"
\n" ); document.write( "\"+-1%2F%28%28-2%2F3%29%29+=+3%2F2+\"
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\n" ); document.write( "The unknown line passes through ( 3,7 )
\n" ); document.write( "You can use the general point-slope formula
\n" ); document.write( "\"+%28+y+-+7+%29+%2F+%28+x+-+3+%29+=+3%2F2+\"
\n" ); document.write( "Multiply both sides by \"+2%2A%28+x+-+3+%29+\"
\n" ); document.write( "\"+2%2A%28+y+-+7+%29+=+3%2A%28+x+-+3+%29+\"
\n" ); document.write( "\"+2y+-+14+=+3x+-+9+\"
\n" ); document.write( "\"+2y+=+3x+%2B+5+\"
\n" ); document.write( "\"+y+=+%283%2F2%29%2Ax+%2B+5%2F2+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "check the answer:
\n" ); document.write( "Does it go through ( 3,7 ) ?
\n" ); document.write( "\"+7+=+%283%2F2%29%2A3+%2B+5%2F2+\"
\n" ); document.write( "\"+7+=+9%2F2+%2B+5%2F2+\"
\n" ); document.write( "\"+7+=+14%2F2+\"
\n" ); document.write( "\"+7+=+7+\"
\n" ); document.write( "OK
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