Find the Standard Form of the Equation of the Sphere $( - 8,4 , - 2 ) , ( - 8 , - 2,6 )$

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics.
Endpoints of a diameter: $( - 8,4 , - 2 ) , ( - 8 , - 2,6 )$

A) $( x + 16 ) ^ { 2 } + ( x - 2 ) ^ { 2 } + ( x - 4 ) ^ { 2 } = 25$
B) $( x + 8 ) ^ { 2 } + ( x - 1 ) ^ { 2 } + ( x - 2 ) ^ { 2 } = 50$
C) $( x + 8 ) ^ { 2 } + ( x - 1 ) ^ { 2 } + ( x - 2 ) ^ { 2 } = 100$
D) $( x + 8 ) ^ { 2 } + ( x - 1 ) ^ { 2 } + ( x - 2 ) ^ { 2 } = 25$
E) $( x - 8 ) ^ { 2 } + ( x + 1 ) ^ { 2 } + ( x + 2 ) ^ { 2 } = 25$