# Perpendicular Lines

If two lines are perpendicular, their slopes are the inverse of each other and their signs are opposite.

Two lines are perpendicular if their directional vectors are perpendicular.

#### Examples

Determine the equation of the line that is perpendicular to r ≡ x + 2 y + 3 = 0 and passes through the point A = (3, 5).

Given the lines r ≡ 3x + 5y − 13 = 0 and s ≡ 4x − 3y + 2 = 0, calculate the equation of the line that passes through their point of intersection and is perpendicular to the line t ≡ 5x − 8y + 12 = 0

Calculate **k** so that the lines r ≡ x + 2y − 3 = 0 and s ≡ x − ky + 4 = 0 are perpendicular.

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