4. Point P is located at (2, 2) and point T is located at (7, 17).
What are the coordinates of the point that partitions the directed line segment PT in a 3:2 ratio?
Use the section formula and show values for: m: n, Point 1, Point 2, and ALL work to find coordinates of partitioning point.

The coordinates of the point that partitions PT is (5, 11).

Solution:

Given P(2, 2) and T(7, 17).

Line segment PT is divided the coordinates of the point in the ratio 3 : 2.

Let R be the divided point the line segment PT.

Section Formula:

The point (x, y) which divides the line segment of the points and in the ratio m : n is

Here and m = 3, n = 2

Substitute these in the given formula.

Hence the coordinates of the point that partitions PT is (5, 11).