# How do I rotate the axes of and then graph 7x^2 - 6sqrt3xy + 13y^2 - 16 = 0?>

May 1, 2016

The angle of rotation may be given as $\theta = \frac{\pi}{6}$
The conic section is an ellipse and in standard form, may be given as ${x}^{2} / 4 + {y}^{2} / 1 = 1$

#### Explanation:

Finally, we may graph this rotation in the xy plane.