Question

Find the co-ordinates of points of trisection of the line segment joining the points A (2,-2) and B(-7,4) ?

Answer 1

hope this will help you

Answer 2

A-----p---------Q-----------B

according to question

AP=PQ=QB

hence P divide AB 1:2ratio

now use section formula

p (x, y)

x=(1 x (-7)+2 x 2)/(2+1)=-3/3=-1

y=(1 x4+2 x (-2)) /(2+1)=0

p (-1,0)

now Q divide line AB 2:1ratio

use again section formula

Q (r, u)

r=(2 x (-7)+1 x 2)/(2+1)=-12/3=-4

u=(2 x4+1 x (-2))/(2+1)=2

Q (-4,2)