document.write( "Question 703165: Determine the constant, k, so that the graph of 4x+(k-1)y=k+1 will have a slope of 5. \n" ); document.write( "
Algebra.Com's Answer #433331 by lwsshak3(11628)\"\" \"About 
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Determine the constant, k, so that the graph of 4x+(k-1)y=k+1 will have a slope of 5
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\n" ); document.write( "equation of line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "4x+(k-1)y=k+1
\n" ); document.write( "(k-1)y=-4x+(k+1)
\n" ); document.write( "y=-4x/(k-1)+(k+1)/(k-1)
\n" ); document.write( "slope=-4/(k-1)=5
\n" ); document.write( "5k-5=-4
\n" ); document.write( "5k=1
\n" ); document.write( "k=1/5
\n" ); document.write( "Check:
\n" ); document.write( "4x+(k-1)y=k+1
\n" ); document.write( "(k-1)y=-4x+(k+1)
\n" ); document.write( "y=-4x/(k-1)+(k+1)/(k-1)
\n" ); document.write( "y=-4x/(-4/5)+(6/5)/(-4/5)
\n" ); document.write( "y=5x-3/2\r
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