Write the Standard Form of the Equation of the Hyperbola $( - 2,5 ) , ( 10,5 ) ;$

Multiple Choice

Write the standard form of the equation of the hyperbola subject to the given conditions.
-Vertices: $( - 2,5 ) , ( 10,5 ) ;$ eccentricity $\frac { 5 } { 3 }$

A) $\frac { ( x - 4 ) ^ { 2 } } { 36 } - \frac { ( y - 5 ) ^ { 2 } } { 64 } = 1$
B) $\frac { ( x + 4 ) ^ { 2 } } { 36 } - \frac { ( y + 5 ) ^ { 2 } } { 64 } = 1$
C) $\frac { ( y - 5 ) ^ { 2 } } { 64 } - \frac { ( x - 4 ) ^ { 2 } } { 36 } = 1$
D) $\frac { ( y - 4 ) ^ { 2 } } { 36 } - \frac { ( x - 5 ) ^ { 2 } } { 64 } = 1$