Another coordinate is needed to determine the slope of the line.
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If you mean (-2, 5) then another coordinate is needed in order to determine the slope of the line
A line containing the point 5 9 and -5 -5 is going from the bottom left to the top right. It is a positive slope.
-3,5 and 6,-1
The slope of the perpendicular to the line passing through P1(3,6) and P2(5,1) is 2/5. Note: the slope of the original line is (change in y)/(change in x), yielding -5/2. The slope of the perpendicular is the negative reciprocal, 2/5
The slope is -1 - 4 / -2 - 2 = -5/ -4 = 5/4