Answer:
(x + 1)^2 + (y - 4)^2 = 8
Step-by-step explanation:
Midpoint of the diameter is the centre
So....Centre coordinates are ((-3+1)÷2 ; (2+6)÷2) = (-1;4)
Calculate the radius of the circle....
Radius = square root of [(-1+3)^2 + (4-2)^2]
;Radius = square root of 8
Then substitute the x-coordinate of the centre into the first slot....then the y-coordinate into the second slot and the radius(squared) into last slot of the equation......;
(x + 1)^2 + (y - 4)^2 = 8
