Step-by-step explanation:
The general equation for a circle is
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes
[tex] {x}^{2} + {y}^{2} = {4}^{2} [/tex]
