Can someone help me please?

Given:

A line segment AB.

A point is of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is of the way from A to B. It means,

Let AP and AB are 3x and 10x, then

It means, point P divided the line segment in 3:7.

Using section formula, we get

Therefore, the coordinates of the required point are (0.8, -2.3).