What is the equation of a circle with center (4, -4) and solution point (1, 0)?

(x-4)^{2} + (y+4)^{2 }=25

(x+4)^{2} + (y-4)^{2}_{ }=25

(x-4)^{2} + (y+4)^{2} = 16

(x-4)^{2} + (y+4)^{2 }= 16