Answer:
(-2, 2)
Step-by-step explanation:
Given:
- Point A is at (2, -8) and point C is at (-4, 7)
Difference of coordinates:
- Δx = 2 - (-4) = 6
- Δy = - 8 - 7 = - 15
The ratio of AB to AC is 2:1. So:
- AB = 2*AC/3 and BC = AC/3
Then coordinates of point B should be 2/3 from the point A:
- x = 2- 6*2/3 = 2 - 4 = -2
- y = - 8 - (-15)*2/3 = -8 + 10 = 2
So point B has coordinates of (-2, 2)
