Section Formula: External Division

Section Formula: External Division

## Formula

If $$P(x,y)$$ divides the line segment joining $$A(x_1,y_1)$$ and $$B(x_2,y_2)$$ externally in the ratio $$m:n$$:

$$P\left(\frac{mx_2-nx_1}{m-n},\frac{my_2-ny_1}{m-n}\right)$$

## Usage

- Used to find coordinates of a point dividing a line segment externally in a given ratio.