The points A (3,5) and C (12,2) are points on the straight line ABC.

Question

AB:BC = 2:1.

Work out the coordinates of B.

Thanks

Answer 1

let B be (x,y)

for the x:
(x-3)/(12-x) = 2/1
x - 3 = 24 - 2x
3x = 27
x = 9

find the y in the same way