Line segment with one endpoint at (2,5) is divided in the ratio 4: 5 by the point (10,1). which coordinates could represent the other endpoint.

(20,-4)

Step-by-step explanation:

We are given;

One end point as (2,5)

Point of division as (10,1)

The ratio of division as 4:5

We are required to calculate the other endpoint.

Assuming the other endpoint is (x,y)

Using the ratio theorem

If the unknown endpoint is the last point on the line segment;

Then;

=+

Therefore; solving the equation;

solving for x

x = 20

Also

solving for y

y= -4

Therefore,

the coordinates of the end point are (20,-4)