Find the coordinates of the point which divides the line segment joining (- 1, 3) and (4, -7) internally in the ratio 3 : 4.

Let our points be A(-1, 3) and B(4, -7) and required point be C( x, y)

Given that point divides internally in ratio of 3:4.

By section formula,

x = , y =

Here, m = 3 and n = 4

∴ x = , y =

∴ x= , y =

∴ x = , y =

Hence, the required point is C( , )