Question

Find the coordinates of the points which divide the line segment joining the points (-4, 0) and (0, 6) in four equal parts.

Answer 1

A (-4,0)
B(0,6)

C = Mid point of AB divides AB in 2 equal parts.
C =

D = Midpoint of AC divides AC in 2 equal parts
D =

E = Midpoint of CB divides CB in 2 equal parts
E =

Hence AD = DC =CE =EB
Therefore,
C, D and E divides the line into four equal parts.