Question

(no links/urls , for 20 points ) Write the equation of a circle that passes through the following points - see image

Answer 1

Explanation:

The general equation for a circle is

`{(x - h)}^(2) + {(y - k)}^(2) = {r}^(2)`

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

`{x}^(2) + {y}^(2) = {4}^(2)`