Question

If B is a point on AC and AB:BC = 1:2, what are the coordinates of B?

Answer 1

-1/2 left and down 4

So it's #2

Answer 2

We have to use the segment formula which is

$( \frac{mx_{2} + n x_{1} }{m+n}, \frac{my_{2} + n y_{1} }{m+n})$

Where m :n is the ratio.

Using this formula, we will get

$( \frac{1*4 +2(-5)}{1+2} , \frac{1(-10)+2*2}{1+2})$

And on simplifying , we will get

$( \frac{4-10}{3} , \frac{-10+4}{3}) = (-2,-2)$

Therefore the correct option is 1 .