Question

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

Answer 1

Let P(x, y) be the required point. Using the section formula, we get
$x=\frac{2\times 4+3\times (-1)}{2+3}=\frac{8-3}{5}=\frac{5}{5}=1$
$y=\frac{2\times (-3)+3\times 7}{2+3}=\frac{-6+21}{5}=\frac{15}{5}=3$
Therefore, the point is (1, 3).