Point a is located at (2,6) and point b is located at (18,12) . what point partitions the directed line segment ab into a 2: 3 ratio

(8.4, 8.4) or

Explanation:

Given points are A(2, 6) and B(18, 12).

Let P(x, y) partitions the line segment in the ratio 2 : 3.

That is AP : PB = 2 : 3.

A(2, 6) can be taken as

B(18, 12) can be taken as

AP : PB can be taken as m : n = 2 : 3.

The coordinate of point P(x, y) divides line segment joining and in ratio m : n is

Here, and m = 2, n = 3.

Substitute these in the above formula, we get

           = (8.4, 8.4)

Hence, the point partitions the line segment is (8.4, 8.4) or .