If you mean: 2x-3y = 8 then y = 2/3x-8/3 and the perpendicular slope is -3/2
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Slope of a line = m slope of perpendicular line = -1/m
The slope of a line perpendicular to one with a slope of m is -1/m.
Given any line L, with slope m, the perpendicular line has slope -m.
Slope: (2-4)/(0--3) = -2/3 Perpendicular slope: 3/2
Points: (5, -1) and (2, -5) Slope: 4/3 Perpendicular slope: -3/4