Answer:
(x + 1)^2 + (y - 1)^2 = 74.
Step-by-step explanation:
The center is at (-1, 1) and a point in the line is (6, -4)
The general formula is
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius.
Here h = -1, k = 1 and a point on the line is (6, -4)
(6 - (1))^2 + (-4 - 1)^2 = r^2
r^2 = 49 + 25 = 74
So the equation is
(x + 1)^2 + (y - 1)^2 = 74
