In this video I discuss negative reciprocals and prove that the intersection of two lines that have slopes which are negative reciprocals of each other are indeed perpendicular, or intersect at right angles (or 90 degrees).
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Negative Reciprocals and Perpendicular Lines
Proof that Negative Reciprocals are Perpendicular
Now we prove that the intersection of 2 lines that have their slopes "negative reciprocals" of each other are indeed perpendicular.
By observation, the intersection is perpendicular as it is just the same line rotated by 90 degrees clockwise.