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

Given: Points (- 1, 3) and (4, - 7).

Ratio = 3:4

To find: The coordinates of a point dividing the line.

Formula Used:

section formula:

If point P (x, y) divides the line segment A(x₁,y₁) and B(x₂,y₂)

Then the coordinates of P are:

x = , y =

Explanation:

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

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

By section formula,

x = , y =

Here, m = 3 and n = 4

Hence, the required point is .