Find the Standard-Form Equation of the Hyperbola Centered at the Origin

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Asymptotes $y = \frac { 8 } { 5 } x , y = - \frac { 8 } { 5 } x ;$ one vertex is $( 0,16 )$

A) $\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 25 } = 1$
B) $\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 100 } = 1$
C) $\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 100 } = 1$
D) $\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 100 } = 1$