Question

Find the coordinates of the points which divide the line segment joining A(2, -3) and B(-4, -6) into three equal parts.

Answer 1

A = 2 quadrant
B =3 quadrant

Answer 2

First ratio 1:2
By section formula
x=mx2+nx1/m+n ,y=my2+ny1/m+n
x=1(-4)+2(2)/1+2 ,y=1(-6)+2(-3)/3
x=-4+4/3 , y=-6-6/3
x=0/3, y=-12/3
P(0,-4)
Second ratio,
2:1
By section formula,
x=2(-4)+1(2)/2+1 ,y=2(-6)+1(-3)/3
x=-8+2/3 ,y=-12-3/3
x=-6/3 ,y=-15/3
Q(-2,-5)
Hope it jelps u