Section formulae

d

Internal division section formula

$P(x, y)$ $\,=\,$ $\bigg(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\bigg)$

External division section formula

$P(x, y)$ $\,=\,$ $\bigg(\dfrac{mx_2-nx_1}{m-n}, \dfrac{my_2-ny_1}{m-n}\bigg)$

Midpoint formula

$P(x, y)$ $\,=\,$ $\bigg(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2}\bigg)$