Write an Equation for the Hyperbola $( 6 , - 8 ) ;$

Write an equation for the hyperbola.
-center at $( 6 , - 8 ) ;$ focus at $( 6 - \sqrt { 58 } , - 8 ) ; e = \frac { \sqrt { 58 } } { 7 }$

A) $\frac { ( x + 6 ) ^ { 2 } } { 49 } - \frac { ( y - 8 ) ^ { 2 } } { 9 } = 1$
B) $\frac { ( x + 6 ) ^ { 2 } } { 9 } - \frac { ( y - 8 ) ^ { 2 } } { 49 } = 1$
C) $\frac { ( x - 6 ) ^ { 2 } } { 9 } - \frac { ( y + 8 ) ^ { 2 } } { 49 } = 1$
D) $\frac { ( x - 6 ) ^ { 2 } } { 49 } - \frac { ( y + 8 ) ^ { 2 } } { 9 } = 1$

Correct Answer:

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