Perpendicular Lines

Perpendicular Lines

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

Perpendicular Lines

Two lines are perpendicular if their directional vectors are perpendicular.

Perpendicular Lines

Perpendicular Line Calculations

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).

Perpendicular Lines

Perpendicular Line Example

Perpendicular Line Calculations

Perpendicular Line Solution


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

Perpendicular Line Calculations

Perpendicular Line Solution


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

Perpendicular Line Calculations

Perpendicular Line Solution