Find the points of trisection of the line segment joining the points (5, - 6) and ( - 7, 5).

Given: points (5, - 6) and ( - 7, 5)

To find: The points of trisection.

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:

Explanation:

Let our given points be A (5, - 6), and B( - 7, 5) and required points are C (x₁ , y₁ ) and D(x₂ , y₂)

The points of trisection of a line are points which divide into the ratio 1:2

By section formula,

For point C(x₁ , y₁ )

Here m = 1 and n = 2

For point D (x₂ , y₂ )

Here m = 2 and n = 1

Hence, the points of trisection of the line joining given points are and .