Respuesta :

Answer:

Step-by-step explanation:

eq. of circle with (x1,y1 ) and (x2,y2) as extremities of diameter is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

(x+3)(x-1)+(y-5)(y-9)=0

x²+3x-x-3+y²-5y-9y+45=0

x²+2x-3+y²-14y+45=0

x²+2x+y²-14y+42=0

x²+2x+1+y²-14y+49=-42+1+49

(x+1)²+(y-7)²=8

(x-(-1))²+(y-7)²=8