Distance Between a Point and a Line Using Normal Form

Distance Between a Point and a Line Using Normal Form

## Formula

For:

$$x\cos\alpha+y\sin\alpha=p$$

the distance of $$(x_1,y_1)$$ from the line is:

$$d=|x_1\cos\alpha+y_1\sin\alpha-p|$$

## Usage

- Used to calculate point-to-line distance when the line is given in normal form.