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Jun 6th, 2015

The slope of: y= -2/3x +5 is -2/3 . A line perpendicular must have a slope that is the negative reciprocal: (-2/3)m = -1

(2/3)m = 1 m = 3/2 (slope of new line) use this along with the given point (3,-2) and plug into the "point-slope" form: y - y1 = m(x - x1) y +2 = 3/2(x - 3) y +2 = 3/2x - 9/2 y = 3/2x - 5/2 (this is what they're looking for -- in "slope-intercept" form)

I just checked something and need clarification. when I simplified terms y+2=3/2x -9/2, shouldn't the answer be y= 3/2x -9/2 -4/2 , which equals the an answer of y=3/2x -13/2 instead of y = 3/2 x - 5/2.