document.write( "Question 156217: parallel or perpendicular? 2x-7y=5 and 2y-7x=7 \n" ); document.write( "

Algebra.Com's Answer #115432 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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2x-7y=5 and 2y-7x=7
\n" ); document.write( ":
\n" ); document.write( "Put both equation into the slope/intercept form
\n" ); document.write( "-7y = 5 - 2x
\n" ); document.write( "7y = 2x - 5; multiplied equation by -1
\n" ); document.write( "y = $\"2%2F7\"$ x - $\"5%2F7\"$
\n" ); document.write( "and
\n" ); document.write( "2y = 7x + 7
\n" ); document.write( "y = $\"7%2F2\"$ x + $\"7%2F2\"$
\n" ); document.write( ":
\n" ); document.write( "not parallel, they have different slopes
\n" ); document.write( ":
\n" ); document.write( "slope relationship for perpendicular lines: m1 * m2 = -1
\n" ); document.write( " $\"2%2F7\"$ * $\"7%2F2\"$ = +1, so not perpendicular either \n" ); document.write( "

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