Question

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

Answer 1

The equation of a circle with center (h, k) and radius r is
.. (x -h)^2 +(y -k)^2 = r^2
Filling in the given information, you have
.. (-3-5)^2 +(2-(-4))^2 = r^2
.. 64 +36 = r^2 = 100

The equation of the circle is then
.. (x -5)^2 +(y +4)^2 =100

Your blanks are filled with (-5), (4), (100).