document.write( "Question 397627: What is the equation of a line that is perpendicular to y=-4x-2 and passes through the point (-8,3)? \n" ); document.write( "

Algebra.Com's Answer #281769 by Fombitz(32388) $\"\"$ $\"About$

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Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( " $\"m%5B1%5D%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"-4%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=1%2F4\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"y=mx%2Bb\"$
\n" ); document.write( " $\"y=-%281%2F4%29x%2Bb\"$
\n" ); document.write( "Use the point (-8,3) to solve for $\"b\"$ .
\n" ); document.write( " $\"3=-%281%2F4%29%28-8%29%2Bb\"$
\n" ); document.write( " $\"3=2%2Bb\"$
\n" ); document.write( " $\"b=1\"$
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\n" ); document.write( " $\"highlight%28y=-%281%2F4%29x%2B1%29\"$
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