Question

find the coordinates of the point which divide the line segment joining A(2,-3)andB(-4,-6)into three equal parts

Answer 1

A======p=======q=========B

p divide AB is 1:2
use section formula ,
x co-ordinate of p
={-4+2 x 2}/(1+2)=0

y coordinate of P
={-6-6}/3=-4

hence point p=(0,-4)

point q divide line AB 2:1 ratio
in the same way ,
q=(-2,-5)