document.write( "Question 366932: find the equation of the line which passes through the point (6,2) and the point of intersection of the lines 4y=-x+2 and x+3y=-1. Express your answer in standard form. \n" ); document.write( "
Algebra.Com's Answer #261640 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Find the intersection point first.
\n" ); document.write( "\"4y=-x%2B2\"
\n" ); document.write( "\"x=2-4y\"
\n" ); document.write( "Substitute,
\n" ); document.write( "\"x%2B3y=-1\"
\n" ); document.write( "\"2-4y%2B3y=-1\"
\n" ); document.write( "\"-y=-3\"
\n" ); document.write( "\"highlight%28y=3%29\"
\n" ); document.write( "\"x=2-4%283%29\"
\n" ); document.write( "\"x=2-12\"
\n" ); document.write( "\"highlight%28x=-10%29\"
\n" ); document.write( "(-10,3)
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\n" ); document.write( "Find the slope between (-10,3) and (6,2)
\n" ); document.write( "\"m=%282-3%29%2F%286-%28-10%29%29=-%281%2F16%29\"
\n" ); document.write( "\"y=mx%2Bb\"
\n" ); document.write( "\"2=-%281%2F16%29%286%29%2Bb\"
\n" ); document.write( "\"2=-3%2F8%2Bb\"
\n" ); document.write( "\"b=19%2F8\"
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\n" ); document.write( "\"y=-%281%2F16%29x%2B19%2F8\"
\n" ); document.write( "\"16y=-x%2B38\"
\n" ); document.write( "\"highlight%28x%2B16y=38%29\"
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