Question

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

Answer 1

Step-by-step 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

${x}^{2} + {y}^{2} = {4}^{2}$