Your answer is option H.
First find the equation of the circle.
The formula of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center. So we plug in the given information. Diameter is 10, so radius is 5.
Your equation becomes:
(x + 2)² + (y + 2)² = 25
Now you plug in the ordered pairs. It can' be option F because that's the center. Next one I plugged in was option H, (- 6, - 5).
(- 6 + 2)² + (- 5 + 2)² = 25
( - 4)² + (- 3)² = 25
16 + 9 = 25
25 = 25
Because plugging in (- 6, - 5) gives you a true statement, it lies on Circle O.
