Find the distance between the two points (-4, -5) and (1, -2)

-7

Step-by-step explanation:

Here we want to find the point that divide the segment AB into ratio 3:4.

The coordinates of A are

A (-4, -10)

B (-11, -7)

We can use the formula

In order to find the x-coordinate of the point that divides AB into a 3:4 ratio.

In this problem, we have:

a = 3

b = 4

where a/b = 3/4 is the ratio, and

Are the coordinates of the endpoints

Substituting into the formula, we find