Answer:
(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)