Solution: Find the coordinates of the point dividing the line segment joining (1,2) and (9,10) in the ratio 1:3.

Find the coordinates of the point dividing the line segment joining $(1,2)$ and $(9,10)$ in the ratio $1:3$.

Solution for $\frac{1 \cdot 9 + 3 \cdot 1}{1 + 3}$

Solution for $\frac{1 \cdot 10 + 3 \cdot 2}{1 + 3}$