Use a Graphing Utility to Graph the Conic $\theta$ Through Which the Axes Are Rotated

Multiple Choice

Use a graphing utility to graph the conic.Determine the angle $\theta$ through which the axes are rotated. $x ^ { 2 } + 2 x y + y ^ { 2 } = 25$

A) $\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }$ , $y = - x \pm \sqrt { 25 }$
B) $\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }$ , $y = - x \pm \sqrt { 25 }$
C) $\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }$ , $y = - x \pm \sqrt { 25 }$
D) $\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }$ , $y = - x \pm \sqrt { 25 }$
E) $\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }$ , $y = - x \pm \sqrt { 25 }$