The equation of this line would be (x - 7)^2 + (y + 24)^2 = 625
This is because of the base equation for circles, which is:
(x - x1)^2 + (y - y1)^2 = r^2
In which, x1 is the x-coordinate to the center, y1 is the y-coordinate to the center and r is the radius.
So we start by putting in out known values.
(x - 7)^2 + (y + 24)^2 = r^2
However, we still don't know the r value. To find it, we must use the Pythagorean Theorem to find the distance between the center and the origin.
a^2 + b^2 = c^2
7^2 + 24^2 = c^2
49 + 576 = c^2
625 = c^2
25 = c
So we know the radius must be 25. So we can plug that into what we already had.
(x - 7)^2 + (y + 24)^2 = 25^2
(x - 7)^2 + (y + 24)^2 = 625