The equation of the circle would be (x−(−4))2+(y)2=6or (x+4)2+(y−72=36.
Explanation:The equations of the circle is(−h)2+y−k)2=r2
where h is the x of the center of the circle and k is the y of the center of the circle, and r is the radius(-4,7) radus is 6h = -4k = 7r = 6plug in the values(x−(−4))2+(y−7)2=62simplify(x+4)2+(y−7)2=36.