What is the equation of the circle with center (-1,-2) and passes through the point (6,4)?

which of the following points is also located on the circle?
a. (6,-6)
b. (-10,0)
c. (-6,4)

and B

Step-by-step explanation:

To write the equation of a circle, use the formula where the center of the circle is (h, k).

This means the equation is .

Find the radius r by finding the distance between (-1,-2) and (6,4) using the distance formula.

Since the radius is √85 and therefore .

The equation is .

To see what other point is on the circle, substitute the (x,y) in the equation.

(-10+1)^2 + (0+2)^2 = 85

81 + 4 = 85

85 = 85

The point (-10,0) is on the circle.