Answer:
The coordinates of point B are (-2, 2).
Explanation:
Given:
Point A (2,−8)
Point C (−4,7)
Point B divides the line AB such that the ratio AB:BC is 2:1.
To find: The coordinates of point B.
Solution:
We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1

Where
is the co-ordinate of the point which
divides the line segment joining the points
and
in the ratio
.
m = 2
n = 1
As per the given values

Putting the values in the formula:

So, the coordinates of point B are (-2, 2).