document.write( "Question 1099151: Find an equation for the line perpendicular to the line −x−5y=2 having the same y-intercept as 7x−9y=−9
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Algebra.Com's Answer #713546 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
So first off, find the y-intercept of the second equation,
\n" ); document.write( "Set $\"x=0\"$ and solve for y.
\n" ); document.write( " $\"7%280%29-9y=-9\"$
\n" ); document.write( " $\"-9y=-9\"$
\n" ); document.write( " $\"y=1\"$
\n" ); document.write( "So then all you need is the slope,
\n" ); document.write( " $\"y=m%5B2%5Dx%2B1\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( "So the first line is,
\n" ); document.write( " $\"5y=-x-2\"$
\n" ); document.write( " $\"y=-x%2F5-2%2F5\"$
\n" ); document.write( "and
\n" ); document.write( " $\"m%5B1%5D=-1%2F5\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"-%281%2F5%29m%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=5\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"highlight%28y=5x%2B1%29\"$
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