Answer:
(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).
Step-by-step explanation:
Start with the general equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
Substitute -2/3 for h and -3/4 for k, and also 5 for r:
(x - [-2/3])^2 + (y - [-3/4])^2 = 5^2, or
(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).
