document.write( "Question 629841: If the line passing through the points (1,k) and (5,4k) is parallel to the line x+3y-2=0, find the value of k \n" ); document.write( "
Algebra.Com's Answer #396569 by lwsshak3(11628)\"\" \"About 
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If the line passing through the points (1,k) and (5,4k) is parallel to the line x+3y-2=0, find the value of k
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\n" ); document.write( "Given line:
\n" ); document.write( "x+3y-2=0
\n" ); document.write( "3y=-x+2
\n" ); document.write( "y=-x/3+2/3
\n" ); document.write( "slope=-1/3
\n" ); document.write( "..
\n" ); document.write( "Parallel line:
\n" ); document.write( "slope=-1/3
\n" ); document.write( "using coordinates from two given points: (1,k) and (5,4k)
\n" ); document.write( "slope=∆y/∆x=4k-k/5-1=3k/4
\n" ); document.write( "..
\n" ); document.write( "3k/4=-1/3
\n" ); document.write( "k=-4/9 \n" ); document.write( "
\n" );