Point P is on segment AB such that AP:PB is 4:5. If A has coordinates (4,2), and B has coordinates (22,2), determine and state the coordinates of P.

The coordinates of P are (12, 2).

Solution:

Given data:

 and

P(x, y) is the point on the line segment AB.

AP : PB = m : n = 4 : 5.

That is m = 4 and n = 5.

Section formula:

P(x, y) = (12, 2)

Hence the coordinates of P are (12, 2).