Find the Asymptotes of the Hyperbola $$x ^ { 2 } - y ^ { 2 } - 6 x + 8 y - 11 = 0$$

Multiple Choice

Find the asymptotes of the hyperbola.
- $$x ^ { 2 } - y ^ { 2 } - 6 x + 8 y - 11 = 0$$

A) $y - 4 = ( x - 3 )$ and $y - 4 = - ( x - 3 )$

B) $y + 3 = ( x + 4 )$ and $y + 3 = - ( x + 4 )$

C) $y - 3 = ( x - 4 )$ and $y - 3 = - ( x - 4 )$

D) $y - 4 = \frac { 1 } { 2 } ( x - 3 )$ and $y - 4 = - \frac { 1 } { 2 } ( x - 3 )$