Find the Equation of the Ellipse Satisfying the Given Conditions $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 36 } = 1$

Multiple Choice

Find the equation of the ellipse satisfying the given conditions.
-(4, 0) , (-4, 0) , (0, 3) , (0, -3) are the endpoints of the major and minor axes.

A) $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 36 } = 1$
B) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 16 } = 1$
C) $\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 9 } = 1$
D) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$