Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We have everything we need to fill this in and solve for the radius.
[tex](-7-(-1))^2+(-5-(-3))^2=r^2[/tex] and
[tex](-7+1)^2+(-5+3)^2=r^2[/tex] and
[tex](-6)^2+(-2)^2=r^2[/tex] so
[tex]r^2=40[/tex]
Now we can write the equation using the center and the radius we just found:
[tex](x+1)^2+(y+3)^2=40[/tex]
