document.write( "Question 329490: Find the x-intercepts and y-intercepts of the line that passes through the point (3,-5) and is perpendicular to the line x -3y =-2 \n" ); document.write( "

Algebra.Com's Answer #236248 by Fombitz(32388) $\"\"$ $\"About$

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$\"x-3y=-2\"$
\n" ); document.write( " $\"-3y=-x-2\"$
\n" ); document.write( " $\"y=%28x%2B2%29%2F3\"$
\n" ); document.write( "Perpendicular lines have negative reciprocal slopes,
\n" ); document.write( " $\"m1%2Am2=-1\"$
\n" ); document.write( " $\"%281%2F3%29%2Am2=-1\"$
\n" ); document.write( " $\"m2=-3\"$
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\n" ); document.write( ".
\n" ); document.write( ". $\"y=-3x%2Bb\"$ }
\n" ); document.write( "Use the point (3,-5) to solve for b.
\n" ); document.write( " $\"-5=-3%283%29%2Bb\"$
\n" ); document.write( " $\"b=4\"$
\n" ); document.write( " $\"highlight%28y=-3x%2B4%29\"$
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\n" ); document.write( "x-intercept: $\"-3x%2B4=0\"$
\n" ); document.write( " $\"3x=4\"$
\n" ); document.write( " $\"x=4%2F3\"$
\n" ); document.write( "(4/3,0)
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\n" ); document.write( "y-intercept: $\"y=4\"$
\n" ); document.write( "(0,4)
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