if B is a point on AC and AB:BC = 1:2, what are the coordinates of B?
We have to use the segment formula which is
[tex] ( \frac{mx_{2} + n x_{1} }{m+n}, \frac{my_{2} + n y_{1} }{m+n}) [/tex]
Where m :n is the ratio.
Using this formula, we will get
[tex] ( \frac{1*4 +2(-5)}{1+2} , \frac{1(-10)+2*2}{1+2}) [/tex]
And on simplifying , we will get
[tex] ( \frac{4-10}{3} , \frac{-10+4}{3}) = (-2,-2) [/tex]
Therefore the correct option is 1 .