document.write( "Question 1071537: Determine k so that the lines r and s are parallel.\r
\n" ); document.write( "\n" ); document.write( "r:(x-2)/3 = y/(-2)
\n" ); document.write( "s:(x+5)/(-6) = (y-1)/k
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Algebra.Com's Answer #686463 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
r:
\n" ); document.write( "\"-2%28x-2%29=3y\"
\n" ); document.write( "\"-2x%2B4=3y\"
\n" ); document.write( "\"y=-2x%2F3%2B4%2F3\"
\n" ); document.write( "slope is \"-2%2F3\".\r
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\n" ); document.write( "\n" ); document.write( "s:
\n" ); document.write( "\"-6%28y-1%29=k%28x%2B5%29\"
\n" ); document.write( "\"-6y%2B6=kx%2B5k\"
\n" ); document.write( "\"-6y=kx%2B5k-6\"
\n" ); document.write( "\"y=-%28k%2F6%29x-%285k-6%29%2F6\"
\n" ); document.write( "slope is \"-k%2F6\".\r
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\n" ); document.write( "\n" ); document.write( "Now solve for the equality of the two slopes, \"highlight_green%28-2%2F3=-k%2F6%29\".\r
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\n" ); document.write( "\n" ); document.write( "k=4
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