$P$ is a point on $\overline{AB}$ such that $A - P - B$. $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$ are the given points. If point $P$ divides $\overline{AB}$ from $A$ in the ratio $m : n$ (where $\frac{m}{n} > 0$),then the coordinates of $P$ are:

• A
  $\left(\frac{m x_{2}+x_{1}}{m+n}, \frac{n y_{2}+y_{1}}{m+n}\right)$
• B
  $\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$
• C
  $\left(\frac{m x_{1}+n y_{1}}{m+n}, \frac{m x_{2}+n y_{2}}{m+n}\right)$
• D
  $\left(\frac{m x_{1}+n x_{2}}{m+n}, \frac{m y_{1}+n y_{2}}{m+n}\right)$