document.write( "Question 343910: Find the equation of the line through (20,-5) which is perpendicular to 2x+5y=8. \n" ); document.write( "

Algebra.Com's Answer #246007 by Fombitz(32388) $\"\"$ $\"About$

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$\"2x%2B5y=8\"$
\n" ); document.write( " $\"5y=-2x%2B8\"$
\n" ); document.write( " $\"y=-%282%2F5%29x%2B8%2F5\"$
\n" ); document.write( "The slope of this line is $\"m=-2%2F5\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( " $\"m1%2Am2=-1\"$
\n" ); document.write( " $\"-%282%2F5%29%2Am2=-1\"$
\n" ); document.write( " $\"m2=5%2F2\"$
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\n" ); document.write( " $\"y=%285%2F2%29x%2Bb\"$
\n" ); document.write( "Use the point to solve for $\"b\"$ .
\n" ); document.write( " $\"-5=%285%2F2%29%2820%29%2Bb\"$
\n" ); document.write( " $\"b%2B50=-5\"$
\n" ); document.write( " $\"b=-55\"$
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\n" ); document.write( " $\"highlight%28y=%285%2F2%29x-55%29\"$
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