document.write( "Question 362513: Use the given conditions to write an equation for the line in point slope form and general form. Passing through (2,-2)and perpendicular to the line whose equation is x-3y-5=0 \n" ); document.write( "

Algebra.Com's Answer #258412 by Fombitz(32388) $\"\"$ $\"About$

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First find the slope of the line,
\n" ); document.write( " $\"x-3y-5=0\"$
\n" ); document.write( " $\"3y=x-5\"$
\n" ); document.write( " $\"y=x%2F3-5%2F3\"$
\n" ); document.write( " $\"m%5B1%5D=1%2F3\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( " $\"m%5B1%5D%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"%281%2F3%29%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=-3\"$
\n" ); document.write( "Now use the point slope form,
\n" ); document.write( " $\"y=-3x%2Bb\"$
\n" ); document.write( "Use the point to solve for $\"b\"$ ,
\n" ); document.write( " $\"-2=-3%282%29%2Bb\"$
\n" ); document.write( " $\"-2=-6%2Bb\"$
\n" ); document.write( " $\"b=4\"$
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\n" ); document.write( " $\"highlight%28y=-3x%2B4%29\"$
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\n" ); document.write( " $\"highlight%283x%2By=4%29\"$
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