Question

Find the coordinates of the point that divides the line segment joining the points (𝟒, −𝟑) and (𝟖, 𝟓) in the ratio 𝟑:𝟏 internally.

Answer 1

• Let P(x, y) be the required point.
• Let the point (4, -3) correspond to ($x_1,y_1$) and the point ($8,5$) correspond to ($x_2,y_2)$.

Using the section formula,


Hence, P(x, y) = (7, 3) is the required coordinate