document.write( "Question 750228: Write an equation in slope-intercept form for the line that satisfies the following condition.
\n" ); document.write( "passes through (12, –4), perpendicular to the graph of y = 7/12x + 22 \n" ); document.write( "

Algebra.Com's Answer #456451 by josmiceli(19441) $\"\"$ $\"About$

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The given equation has slope = $\"+7%2F12+\"$
\n" ); document.write( "The slope of any line perpendicular to this one
\n" ); document.write( "will have slope = $\"+-1%2Fm+\"$
\n" ); document.write( " $\"+-1+%2F+%287%2F12%29+=+-12%2F7+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "( 12, -4 )
\n" ); document.write( "Using the general point-slope formula:
\n" ); document.write( " $\"+%28+y+-+%28-4%29+%29+%2F+%28+x+-+12+%29+=+-12%2F7+\"$
\n" ); document.write( " $\"+%28+y+%2B+4+%29+%2F+%28+x+-+12+%29+=+-12%2F7+\"$
\n" ); document.write( " $\"+7%2A%28+y+%2B+4+%29+=+-12%2A%28+x+-+12+%29+\"$
\n" ); document.write( " $\"+7y+%2B+28+=+-12x+%2B+144+\"$
\n" ); document.write( " $\"+7y+=+-12x+%2B+116+\"$
\n" ); document.write( " $\"+y+=+%28-12%2F7%29%2Ax+%2B+116%2F7+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "Does it go through ( 12, -4 ) ?
\n" ); document.write( " $\"+-4+=+%28-12%2F7%29%2A12+%2B+116%2F7+\"$
\n" ); document.write( " $\"+-4%2A7+=+-144+%2B+116+\"$
\n" ); document.write( " $\"+-28+=+-28+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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