Answer:
(5, 2), (14, -7), (5, -16), (-4, -7)
Explanation:
There is an infinite number of possibilities. However, I suspect "they" are thinking of integral coordinates and equally spaced points.
In that case, you could move up nine units to (5, 2).
This puts eight points between A and B. I have numbered them in the diagram below.
Any point on a circle with radius 9 and centred at (5, -7) is 9 units from A, but only these four points have integral coordinates for themselves and for the points in between:
Up from A: (5, 2)
To the right: (14, -7)
Down from A: (5, -16)
To the left: (-4, -7)