document.write( "Question 1068097: equation of a line parallel to the given line and passing through the given point;
\n" ); document.write( "y=-5x-1;(5,9).
\n" ); document.write( "equation of a line perpendicular to the given line and passing through the given point; y=5x-1; (5,9) \n" ); document.write( "

Algebra.Com's Answer #683248 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Parallel lines have identical slopes.
\n" ); document.write( " $\"y%5Bpar%5D=5x%2Bb\"$
\n" ); document.write( "Use the point to find $\"b\"$ ,
\n" ); document.write( " $\"9=5%285%29%2Bb\"$
\n" ); document.write( " $\"9=25%2Bb\"$
\n" ); document.write( " $\"b=-16\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"y%5Bpar%5D=5x-16\"$
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.
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\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals
\n" ); document.write( " $\"5%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=-1%2F5\"$
\n" ); document.write( " $\"y%5Bperp%5D=-%281%2F5%29x%2Bb\"$
\n" ); document.write( "Use the point to find $\"b\"$ ,
\n" ); document.write( " $\"9=-1%2F5%285%29%2Bb\"$
\n" ); document.write( " $\"9=-1%2Bb\"$
\n" ); document.write( " $\"b=10\"$
\n" ); document.write( " $\"y%5Bperp%5D=-%281%2F5%29x%2B10\"$
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