Question

Point A is at (2,-8) and point C is at (-4,7)

find the he coordinate of B and AC such that the ratio of AB to BC is 2 : 1

please answer ASAP​

Answer 1

Answer - (-2, 2)

Explanation - 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)