Acircle is centered at the point (5, -4) and passes through the point (-3, 2). the equation of this circle is (x +__ )^2 + (y +__ )^2 = __

The equation of a circle with center (a, b) and center r, is:

                         .

We have the center, so we can substitute a=5, and b=-4 in the equation. But we still need the radius.

The radius of a circle is the distance between the center (   (5, -4)  ) and any point of the circle (      (-3, 2)     ). Using the formula of the distance between 2 points, we have:

.

Substituting in the equation, we have:

, 

that is .

 (x +_(-5)_ )^2 + (y +_4_ )^2 = _100_