Consider the line in the coordinate plane that passes through the point (-5, 2) and the origin. find the slope of a line perpendicular to the line described. a) - 2/5 b) - 5/2 c) 1/2 d) 5/2

The origin is (0,0)

(-5,2)(0,0)
slope = (0 - 2) / (0 - (-5) = -2 / 5

a perpendicular line will have a negative reciprocal slope. To find the negative reciprocal we flip the slope and change the sign. So we have -2/5flip it and it becomes -5/2...change the sign and it becomes 5/2. So the perpendicular line will have a slope of 5/2.

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