If a point $P(x, y)$ divides the line segment joining $A\left(x_1, y_1\right)$ and $B\left(x_2, y_2\right)$ in the ratio $m: n$, then the coordinates of $P$ are:
$x=\frac{m x_2+n x_1}{m+n}, \quad y=\frac{m y_2+n y_1}{m+n}$
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