The generic equation of the circle is:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
The first thing we must see for this case is where the circle is centered.
We note that the circle is centered on the following ordered pair:
(xo, yo) = (-1, -3).
We now observe the radius of the circle:
The diameter is:
d = l-5 - (- 1) l
d = 4
the radio will be:
r = d / 2 = 4/2 = 2
r = 2
Substituting values:
(x - (- 1)) ^ 2 + (y - (- 3)) ^ 2 = (2) ^ 2
Rewriting:
(x + 1) ^ 2 + (y + 3) ^ 2 = 4
Answer:
The equation of the circle is:
(x + 1) ^ 2 + (y + 3) ^ 2 = 4
option 3