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If the question is about the slope of the line joining (-4, -2) and (0, 4), the answer is:
slope = [4 - (-2)]/[0 - (-4)] = 6/4 = 3/2
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m(slope = Y2 - Y1/X2 - X1(0, 4) and (4, - 2)m = - 2 - 4/4 - 0= - 6/4= - 3/2======
The slope of the line joining the two pints is (4 - 2)/(-3 - 0) = -2/3 Therefore the slope of the perpendicular is 3/2
Points: (-6, 0) and (2, 4) Slope: (0-4)/(-6-2) = 1/2
2
It is: (5-4)/(2-0) = 1/2