document.write( "Question 547278: Determine K for the following two lines are parallel.
\n" ); document.write( " $\"%28k-2%29x+-+ky+%2B+pi+=+0\"$
\n" ); document.write( " $\"5x+%2B+7y+%2B+sqrt%287%29+=+0\"$ \n" ); document.write( "

Algebra.Com's Answer #356319 by mathie123(224) $\"\"$ $\"About$

You can put this solution on YOUR website!
remember that if two lines are parallel, they have the same slope (m value in y=mx+b)\r
\n" ); document.write( "\n" ); document.write( "We need to get both of the lines into our slope-intercept form (y=mx+b).\r
\n" ); document.write( "\n" ); document.write( " $\"%28k-2%29x+-+ky+%2B+pi+=+0\"$
\n" ); document.write( " $\"%28k-2%29x%2Bpi=ky\"$
\n" ); document.write( " $\"y=%28k-2%29%2Fk%2Ax%2Bpi%2Fk\"$ \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"5x+%2B+7y+%2B+sqrt%287%29+=+0\"$
\n" ); document.write( " $\"7y=-5x-sqrt%287%29\"$
\n" ); document.write( " $\"y=-5%2F7%2Ax-sqrt%287%29%2F7\"$ \r
\n" ); document.write( "\n" ); document.write( "If these lines are parallel, this means that the two m values are equal:
\n" ); document.write( " $\"%28k-2%29%2Fk=5%2F7\"$
\n" ); document.write( "This means that:
\n" ); document.write( " $\"k-2=5+-%3E+k=7\"$
\n" ); document.write( "and
\n" ); document.write( " $\"k=7\"$ \r
\n" ); document.write( "\n" ); document.write( "(this was just by equating both the numerators and both the denominators).
\n" ); document.write( "Both of these equations show that $\"k=7\"$
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