Question

HELP!!!! circle is centered at the point (5, -4) and passes through the point (-3, 2). The equation of this circle is (x +___ )2 + (y +___- )2 = ____

Answer 1

(x -5)^2 +(y +4)^2 = 100

Explanation:

The equation of a circle with center (h, k) that passes through point (a, b) is ...

(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2

For your given points, the equation is ...

(x -5)^2 +(y +4)^2 = (-3-5)^2 +(2+4)^2 = 64 +36

(x -5)^2 +(y +4)^2 = 100