Question

SUPER URGENT

A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:2. If A is at (7,-1) and B is at (2,1) what are the coordinates of point C

Answer 1

C = (-8, 5)

Explanation:

You are given that ...

(B-A) : (C-B) = 1 : 2 . . . . . . the required relationship between A, B, and C

2(B -A) = C - B . . . . . . . . . "cross multiply" . . . p:q = r:s ⇒ ps = qr

3B -2A = C . . . . . . . . . . . . add B

C = 3(2, 1) -2(7, -1) = (6-14, 3+2) . . . . . substitute the given coordinates

C = (-8, 5)

Answer 2

hope it is correct and sorry for handwriting... if it is not correct please forgive me...