Question

How can i find the equation of an ellipse if I'm only given 2 points that it contains, NOT including foci, vertices, OR major/minor axix lengths... HELP

Answer 1

I don't think two points is enough to determine a unique ellipse. In fact,
I'm sure of that. If you only have two point, then an infinite number of different
ellipses can be drawn through them. I know it takes three points to determine
a circle, and I'm sure you need at least that many for an ellipse.