document.write( "Question 807877: if two straight lines :X+Y=5 and KX+2Y=0 are parallel then find k.....(with steps) \n" ); document.write( "
Algebra.Com's Answer #486571 by TimothyLamb(4379)\"\" \"About 
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Parallel lines have equal slope.\r
\n" ); document.write( "\n" ); document.write( "Get both equations into slope-intercept form: y = mx + b\r
\n" ); document.write( "\n" ); document.write( "L1: x + y = 5
\n" ); document.write( "y = (-1)x + 5\r
\n" ); document.write( "\n" ); document.write( "L2: Kx + 2y = 0
\n" ); document.write( "2y = -Kx
\n" ); document.write( "y = (-K/2)x\r
\n" ); document.write( "\n" ); document.write( "For the slopes of L1 and L2 to be equal, we must have:
\n" ); document.write( "-1 = -K/2\r
\n" ); document.write( "\n" ); document.write( "Solve for K:
\n" ); document.write( "-1 = -K/2
\n" ); document.write( "K/2 = 1
\n" ); document.write( "K = 2
\n" ); document.write( "---
\n" ); document.write( "Check the answer: plug-in K = 2 into L2. The slopes of L1 and L2 are both -1.
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