Answer:
See below
Explanation:
The CENTER will de directly between the two given points
h, k = -1,7
so...so far the circle eq is
(x+1)^2 + ( y-7)^2
the RADIUS is 1/2 of the distance between the given points
1/2 d = (using distance formula) = 1/2 sqrt 80 = 4.472
then the equation of the circle in standard form
(x+1)^2 + (y-7)^2 = 20