Question

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

Answer 1

The angle of rotation may be given as `theta=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.