The coordinates of X are (5, 11).
Solution:
Given points of the line segment are P(2, 2) and T(7, 17)
Let X be the point that partitions the directed line segment PT in the ratio 3 : 2
Using section formula, we can find the coordinate of the point that partitions the line segment.
Section formula:
Here, and m = 3, n =2
Substitute these in the section formula,
X(x, y) = (5, 11)
The coordinates of X are (5, 11).