Identify the Type of Graph $- x ^ { 2 } - 6 x + 5 y ^ { 2 } + 10 y = 25$

Multiple Choice

Identify the type of graph.
$- x ^ { 2 } - 6 x + 5 y ^ { 2 } + 10 y = 25$

A) The graph is a circle with center $\left( \frac { 5 } { 9 } , - \frac { 2 } { 3 } \right)$
B) The graph is a hyperbola opening to the right and left.
C) The equation has no graph.
D) The graph is an ellipse with center $\left( - \frac { 5 } { 9 } , \frac { 2 } { 3 } \right)$