document.write( "Question 684046: Find the equation of the line passing through the given point and perpendicular to the equation of the line. (-2,3) ; 5x-4y-6=0 \n" ); document.write( "
Algebra.Com's Answer #423912 by ReadingBoosters(3246)\"\" \"About 
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Start with 5x-4y-6=0
\n" ); document.write( "5x-6 = 4y
\n" ); document.write( "y = \"%285%2F4%29x+-+6%2F4\"
\n" ); document.write( "has a slope of \"5%2F4\"
\n" ); document.write( "A perpendicular line will have a negative inverse/reciprocal slope of \"-4%2F5\"
\n" ); document.write( "...
\n" ); document.write( "Use the slope and the point (-2, 3) in the point-slope formula
\n" ); document.write( "y - 3 = \"-4%2F5\"(x--2)
\n" ); document.write( "y - 3 = \"-4%2F5\"(x+2)
\n" ); document.write( "y - 3 = \"%28-4%2F5%29x+-+%284%2F5%29%282%29\"
\n" ); document.write( "y - 3 = \"%28-4%2F5%29x+-+8%2F5\"
\n" ); document.write( "y = \"%28-4%2F5%29x+-+8%2F5+%2B+3\"
\n" ); document.write( "y = \"%28-4%2F5%29x+-+8%2F5+%2B+3%285%2F5%29\"
\n" ); document.write( "y = \"%28-4%2F5%29x+-+8%2F5+%2B+15%2F5\"
\n" ); document.write( "...
\n" ); document.write( "\"highlight_green%28y=%28-4%2F5%29x%2B%287%2F5%29%29\"
\n" ); document.write( ".....................
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