slope of AB = (3 - -6) / (-6 - 3) = 9 / -9 = -1
slope perpendicular bisector = 1
midpoint of AB = (-1.5 , -1.5)
equation of perpendiuclar bisector ==> y = x + b
-1.5 = -1.5 + b ==> b = 0
thus, this passes through the origin, which is also the center of the circle x^2 + y^2 = 45
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slope of AB = (3 - -6) / (-6 - 3) = 9 / -9 = -1
slope perpendicular bisector = 1
midpoint of AB = (-1.5 , -1.5)
equation of perpendiuclar bisector ==> y = x + b
-1.5 = -1.5 + b ==> b = 0
thus, this passes through the origin, which is also the center of the circle x^2 + y^2 = 45