title: how do I find the angle of rotation of the major axis of an ellipse given its bounding rectangle?
body: <p>I have an ellipse centered at (0,0) and the bounding rectangle is x = [-5,5], y = [-6,6]. The ellipse intersects the rectangle at (-5,3),(-2.5,6),(2.5,-6),and (5,-3)</p>
  
  <p>I know nothing else about the ellipse, but the only thing I need to know is what angle the major axis is rotated at.</p>
  
  <p>seems like the answer must be really simple but I'm just not seeing it... thanks for the help!</p>