Perpendicular Distance - Formulae (two Dimensions)

Formulae (two Dimensions)

The perpendicular distance from the point to the line ax + by + c = 0 is given by

If the equation of the line is given on the form y = kx + m, the perpendicular distance from is given by

If the line is horizontal, so its equation is of the form y = k_y, where k_y is a constant, the perpendicular distance from is given by

Likewise, if the line is vertical with equation x = k_x, the perpendicular distance from is