Find an Equation of the Set of All Points Equidistant $A ( 7 , - 8 , - 9 )$

Multiple Choice

Find an equation of the set of all points equidistant from the points $A ( 7 , - 8 , - 9 )$ and $B ( - 6,4 , - 12 )$ .

A) $- 13 x - 12 y + 3 z = - 1$
B) $\quad 13 x - 12 y + 3 z = - 1$
C) $- 13 x - 12 y + 3 z = 1$
D) $\quad 13 x - 12 y + 3 z = 1$
E) $13 x - 12 y = 0$