document.write( "Question 907997: whats an equation for the linear function g(x) which is perpendicular to the line 5 x - 6 y = 24 and intersects the line 5 x - 6 y = 24 at x = 30.
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Algebra.Com's Answer #550868 by Fombitz(32388) $\"\"$ $\"About$

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Find the point of intersection.
\n" ); document.write( "When $\"x=30\"$ ,
\n" ); document.write( " $\"5%2830%29-6y=24\"$
\n" ); document.write( " $\"150-6y=24\"$
\n" ); document.write( " $\"-6y=-122\"$
\n" ); document.write( " $\"y=21\"$
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\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( " $\"5x-6y=24\"$
\n" ); document.write( " $\"-6y=-5x%2B24\"$
\n" ); document.write( " $\"y=%285%2F6%29x-4\"$
\n" ); document.write( "So the perpendicular line would have a slope of ,
\n" ); document.write( " $\"m%2A%285%2F6%29=-1\"$
\n" ); document.write( " $\"m=-6%2F5\"$
\n" ); document.write( "Use the point-slope form of a line.
\n" ); document.write( " $\"y-21=-%286%2F5%29%28x-30%29\"$
\n" ); document.write( " $\"5%28y-21%29=-6%28x-30%29\"$
\n" ); document.write( " $\"5y-105=-6x%2B180\"$
\n" ); document.write( " $\"highlight%286x%2B5y=285%29\"$
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