document.write( "Question 536042: write equation of a perpendicular line in slope intercept form if y=2/5x-4 (-1,2) \n" ); document.write( "
Algebra.Com's Answer #352109 by nerdybill(7384)\"\" \"About 
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write equation of a perpendicular line in slope intercept form if y=2/5x-4 (-1,2)
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\n" ); document.write( "Slope of:
\n" ); document.write( "y=2/5x-4
\n" ); document.write( "is 2/5
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\n" ); document.write( "A line perpendicular must have a slope that is the negative reciprocal:
\n" ); document.write( "(2/5)m = -1
\n" ); document.write( "m = -5/2 (this is the slope of the new line)
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\n" ); document.write( "Plug slope (-5/2) and (1,2) into \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - 2 = (-5/2)(x - 1)
\n" ); document.write( "y - 2 = (-5/2)x + 5/2
\n" ); document.write( "y = (-5/2)x + 5/2 + 2
\n" ); document.write( "y = (-5/2)x + 5/2 + 4/2
\n" ); document.write( "y = (-5/2)x + 9/2 (this is what they're looking for)\r
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