Answer:
(5−6)2+(−15+12)2=(5−2)2+(−15+14)2
Step-by-step explanation:
Circle equation is : (x -h)^2 + (y - k)^2 = r^2
center (h, k) = (5, -15)
r = Distance from (5, -15) to point A (2, -14)
r = root ( (5 - 2)^2 + (-15 - (-14))^2 )
r = root ( 3^2 + 1^2)
r = root(10)
Equation is (x - 5)^2 + (y + 15)^2 = 10
Check point P(6, -12)
(6 - 5)^2 + ( (-12) + 15 )^2 check if this equals 10
1^2 + 3^2 = 1 + 9 = 10, 10 = 10 good
It is the same as using the equation:
(5−6)2+(−15+12)2=(5−2)2+(−15+14)2
