Can someone help me?

Question

I’m having trouble with this problem of someone could help me that would be great.

Answer 1

To get the equation of a circle you need its center (a, b) and its radius r.  Then the equation is

(x - a)² + (y - b) ² = r²

So use the midpoint formula to get the center

(-5 + -3)/2, (6 + -4)/2 = (-4, 1)

Then get the radius by distance formula (use this center and either endpoint)

sqrt (-4 - -5)² + (1 - 6)² = sqrt1 + 25 = √26

so your equation is (x - -4)² + (y - 1)² = √26²

or (x + 4)² + (y - 1)² = 26

Check the math but that's what you do.