document.write( "Question 369623: Find the equation of the line that contains the point (4, 5) and is perpendicular to the line y = 5/4x − 3 \n" ); document.write( "

Algebra.Com's Answer #263392 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( " $\"%285%2F4%29%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=-4%2F5\"$
\n" ); document.write( "Use the slope-intercept form,
\n" ); document.write( " $\"y=-%284%2F5%29x%2Bb\"$
\n" ); document.write( "Use the point (4,5) to determine $\"b\"$
\n" ); document.write( " $\"5=-%284%2F5%29%284%29%2Bb\"$
\n" ); document.write( " $\"5=-16%2F5%2Bb\"$
\n" ); document.write( " $\"b=25%2F5%2B16%2F5\"$
\n" ); document.write( " $\"b=41%2F5\"$
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\n" ); document.write( " $\"highlight%28y=-%284%2F5%29x%2B41%2F5%29\"$
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