Question

Line segment AB is divided by point C in the ratio 1:2. Point A is at (-6, 6) and point C is at (2, 4). What are the coordinates of point B?

Answer 1

9514 1404 393

Answer:

B(10, 2)

Explanation:

The division by point C means ...

B -C = 2(C -A)

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

B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6)) . . . . fill in the coordinate values

B = (6+12, 12-12)

B = (18, 0)