Question

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

A(2,-8)

C(-4,7)

Please help!!

Answer 1

(-2, 3)

Explanation:

the point B is

B(x,y)

x

AB (A to B) is twice BC ( B to C )

AB is 2 - x. BC is x - (-4)= x + 4

So

2-x=2 (x + 4)

2-x=2x + 8

3x = -6

x = -2

y

(Same logic as above)

AB is -5 -y. BC is u - 7

-5 -y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y= 3

the point is (-2, 3)