Find the Equation of the Ellipse with Center At $( 7,7 )$

Multiple Choice

Find the equation of the ellipse with center at $( 7,7 )$ , vertex at $( 16,7 )$ , and passing through the intersection of $y = - 2 x + 25$ and $y = x + 4$ .

A)
$$\frac { ( x - 7 ) ^ { 2 } } { 9 } + \frac { ( y - 7 ) ^ { 2 } } { 4 } = 1$$
B)

$$\frac { ( x - 7 ) ^ { 2 } } { 64 } + \frac { ( y - 7 ) ^ { 2 } } { 16 } = 1$$
C)
$$\frac { ( x - 7 ) ^ { 2 } } { 100 } + \frac { ( y - 7 ) ^ { 2 } } { 25 } = 1$$
D)

$$\frac { ( x - 7 ) ^ { 2 } } { 81 } + \frac { ( y - 7 ) ^ { 2 } } { 16 } = 1$$
E)
$$\frac { ( x - 7 ) ^ { 2 } } { 64 } + \frac { ( y - 7 ) ^ { 2 } } { 25 } = 1$$