The equation of a circle is: (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the location of the center and r is the radius. So we need to find h, k, and r. The center is given as (5,-4) so h = 5 and k = -4: (x-5)^2 + (y-(-4))^2 = r^2 (x-5)^2 + (y+4)^2 = r^2 So we need to find r. Use the distance formula to find the distance between (5,-4) and (-3,2): r = [(5-(-3))^2+((-4)-2)^2]^1/2 r = [8^2 + (-6)^2]^1/2 r = [64 + 36]^1/2 r = 100^1/2 r= 10 The final equation is: (x-5)^2 + (y+4)^2 = 10^2
