Answer:
(2, -2) are the coordinates of the point which divides BA into ration 2:4.
Explanation:
The given two co-ordinates of A are (-2, 6) and B is (4, -6).
Let P be the point that divides the line BA into ratio 2:4.
to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.

Where (x,y) is the co-ordinate of the point P which
divides the line segment joining the points
in the ratio m:n.
Please refer to the attached image.
As per the given values :

Putting the given values in above formula :
x-co-ordinate of P:

y-co-ordinate of P :

So, answer is P(2, -2).