Section Formula

For two points $A(x_1,y_1)$ and $B(x_2,y_2)$, and $P$ is a point on $AB$ such that $AP:PB=m:n$, then the coordinates of $P$ are
\begin{equation*}
\left( \frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n} \right).
\end{equation*}

Same Topic:

Distance Formula Mid-point Formula Properties of Slope Slope