Equation of Perpendicular Bisector

Rarely Tested

Equation of Perpendicular Bisector

## Formula

For points $$A(x_1,y_1)$$ and $$B(x_2,y_2)$$, the perpendicular bisector is:

$$\left(x-\frac{x_1+x_2}{2}\right)(x_2-x_1)+\left(y-\frac{y_1+y_2}{2}\right)(y_2-y_1)=0$$

## Usage

- Used to find the line containing all points equidistant from two fixed points.

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