Find the co-ordinates of the points of trisection of the line segment AB with A(2, 7) and B(-4, -8).

Question

Philoid · Accepted Answer

let The points of trisection of a given line AB be P and Q

Then the ratio AP:PQ:QB = 1:1:1

Hence we get AP:PB = 1:2

And AQ:QB = 2:1

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by

and

To find point P(x,y)

x = 0

y = 2

To find the point Q(x',y')

x' = -2

y' = -3

Hence point P = (0,2) and Q = (-2,-3)