Answer:
The coordinates of point C are (-8,5).
Step-by-step explanation:
It is given that A, B and C collinear and B is between A and C.
The ratio of AB to BC is 1:2. It means Point divided the line segments AC in 1:2.
Section formula:

The given points are A(7,-1) and B(2,1).
Let the coordinates of C are (a,b).
Using section formula the coordinates of B are


We know that point B(2,1).

On comparing both sides we get




The value of a is -8.




The value of b is 5.
Therefore, the coordinates of point C are (-8,5).