First, let's find the given points in the cartesian plane:
We can see that point B is 2 units to the right and 1 unit down from point A. Since point C is at the other end of the segment, the distance from A to C is the same as the distance from A to B, but in the opposite direction, this is: two units left and 1 unit up from A:
And now, we can see that the coordinates of point C are (-7, 5)