Find the coordinates of the point which divides the join of A(-1, 7) and B(4, -3) in the ratio 2 : 3

Find the coordinates of the point which divides the join of A(-1, 7) and B(4, -3) in the ratio 2 : 3.

Answer

$$ x = \frac{2(4) + 3(-1)}{2 + 3} = \frac{8 - 3}{5} = 1 $$

$$ y = \frac{2(-3) + 3(7)}{2 + 3} = \frac{15}{5} = 3 $$

Coordinates of the required point are (1, 3).