Find the points which divide the line segment joining A (–4 ,0) and B (0,6) into four equal parts.

Let P, Q and R are the points of the line segment joining the line segment A and B.

Here AP = PQ = QR= RB

AP = 1 PQ = 1 QR = 1 and PB = 1

Section Formula internally =

P divides line segment AB in the ratio 1:3

Where l = 1 and m = 3

A (–4, 0) and B (0, 6)

=

=

=

=

Section Formula internally =

Q divides line segment AB in the ratio 2: 2

Where l = 2 and m = 2

A (–4, 0) and B (0, 6)

=

=

=

= (–2, 3)

Section Formula internally =

R divides line segment AB in the ratio 3:1

Where l = 3 and m = 1

A (–4, 0) and B (0, 6)

=

=

=

=

Therefore, the coordinates of point P, Q (–2, 3) and R.