Question

Points (–7, 3) and (–9, 5) are endpoints of the diameter of a circle.
(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work.
(b) What is the center of the circle?
(c) What is the equation of the circle?

Answer 1

For (a), do you know the distance formula?

Answer 2

\[d = \sqrt{(x _{2} - x _{1})^{2} + (y _{2} - y _{1})^{2}}\]

Answer 3

That will give you the distance between the two points with coordinates (x1, y1) and (x2, y2). That's the diameter of the circle.