Question

Find the co ordinates of points which divide the line segment joining A(-4,0) and (0,6) into four equal parts?

Answer 1

Step-by-step explanation:

A(-4,0)

B(0,6)

Let the 3 parts be p,q and r

P(x,y)=(1*0+3*-4/4, 1*6+3*0/4)

=(0-12/4, 6+0/4)

=(-3, 3/2)

Q(x,y)=(2*0+2*-4/4, 2*6+2*0/4)

=(0-8/4, 12+0/4)

=(-2, 3)

R(x,y)=(3*0+1*-4/4, 3*6+1*0/4)

=(0-4/4, 18+0/4)

=(-1, 9/2)