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Say you have 2 lines in the plane. You are given their slopes.

The angle between 2 lines in the 2D cartesian plane is given by:

tan( a ) = | (m2 – m1) / (1 + m1m2) |

If the lines are perpendicular, then

m1m2 = -1

and so

(1 + m1m2) = 0

then a = 90 degrees and the lines are perpendicular.

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