document.write( "Question 1092180: What is the equations of the line passing through (8,−2) and perpendicular to the line whose equation is x−7y−9=0
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Algebra.Com's Answer #706739 by josmiceli(19441) $\"\"$ $\"About$

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Find the slope of the given line
\n" ); document.write( " $\"+x+-+7y+-+9+=+0+\"$
\n" ); document.write( " $\"+7y+=+x+-+9+\"$
\n" ); document.write( " $\"+y+=+%281%2F7%29%2Ax+-+9%2F7+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Any line perpendicular to this line has
\n" ); document.write( "slope $\"+m%5B2%5D+=+-1%2Fm%5B1%5D+\"$ where
\n" ); document.write( " $\"+m%5B1%5D+=+1%2F7+\"$
\n" ); document.write( " $\"+m%5B2%5D+=+-1%2F%281%2F7%29+\"$
\n" ); document.write( " $\"+m%5B2%5D+=+-7+\"$
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\n" ); document.write( "(8,-2)
\n" ); document.write( "Use the general point-slope formula
\n" ); document.write( " $\"+%28+y+-%28-2%29+%29+%2F+%28+x+-+8+%29+=+-7+\"$
\n" ); document.write( " $\"+%28+y+%2B+2+%29+%2F+%28+x+-+8+%29+=+-7+\"$
\n" ); document.write( " $\"+y+%2B+2+=+-7%2A%28+x+-+8+%29+\"$
\n" ); document.write( " $\"+y+%2B+2+=+-7x+%2B+56+\"$
\n" ); document.write( " $\"+y+=+-7x+%2B+54+\"$
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\n" ); document.write( "check:
\n" ); document.write( "Does the line go through ( 8, -2 ) ?
\n" ); document.write( " $\"+-2+=+-7%2A8+%2B+54+\"$
\n" ); document.write( " $\"+-2+=+-56+%2B+54+\"$
\n" ); document.write( " $\"+-2+=+-2+\"$
\n" ); document.write( "OK \n" ); document.write( "

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