What are the coordinates of the point on the directed line segment from (-8, -2) to (6,2) that partitions the segment into a ratio of 1 to 3?

The coordinates of the point are (-4.5,-1).

Step-by-step explanation:

We want to find point T(x,y).

I am going to say that out points are A(-8,-2) and B(6,2)

Since it partitions the segment in a 1:3 ratio, we have that:.

We apply this to both the x-coordinate and y-coordinate of T.

x-coordinate:

x-coordinate of A: -8

x-coordinate of B: 6

x-coordinate of T: x.

So

y-coordinate:

y-coordinate of A: -2

y-coordinate of B: 2

y-coordinate of T: y.

The coordinates of the point are (-4.5,-1).

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step-by-step explanation:

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