Answer:
(x+4)^2+(y-3)^2 = 85
Explanation:
The standard form of equation of a circle is expressed as;
(x-a)^2 + (y-b)^2 = r^2
(a, b) is the center
r iis the radius
Get the radius
Radius is the distance between the two points
r^2 = (-3-3)^2 + (3-(-4))^2
r^2 - (-6)^2+(7)^2
r^2 = 36+49
r^2 = 85
Substitute (-4, 3) and r^2 = 85 into the formula
(x-(-4))^2 + (y-3)^2 = 85
(x+4)^2+(y-3)^2 = 85
This gives the required equation