Question

Find the co-ordinates of the points of trisection of the line segment joining the points (−2, 2) and (7, −4).

Answer 1

Given the points are (−2, 2) and (7, −4)

Let the points of trisection be A and B

Using the section formula, we have,

Coordinates of A are as:

`[((1(7) + 2(-2))/(1 + 2))","((1(−4) +2(2))/(1 + 2))]`

= `[(3/3)","(0/3)]`

= (1, 0)

Now, the coordinates of B are as:

`[(2(7) + 1(-2))/(2 + 1), ((2(-4) + 1(2))/(2 + 1))]`

= `[(12/3)","((−6)/3)]`

= (4, −2)

Hence, the co-ordinates of points of trisection are (1, 0) and (4, −2).