Answer:
( x + 3)^2 + ( y - 3)^2 = 106
Explanation:
The equation of the circle with a center and a point
( x - a) ^2 + ( y - b) ^2 = r^2
( -3 , 3) - center - (a, b)
a = -3
b = 3
( 6 , -2) - point - ( x, y)
x = 6
y = -2
Step 1: substitute the center into the equation
( x -(-3)^2 + ( y - 3)^2 = r^2
( x + 3)^2 + ( y - 3)^2 = r^2
Step 2: sub the point into the equation
( 6 + 3)^2 + ( -2 - 3)^2 = r^2
9^2 + ( -5)^2 = r^2
81 + 25 = r^2
106 = r^2
Step 3: sub the radius into the equation
( x + 3)^2 + ( y - 3)^2 = 106
The equation of the circle is
( x + 3)^2 + ( y - 3)^2 = 106