Let the required equation of ellipse be \(\frac {x^2}{a^2} + \frac {y^2}{b^2} = 1\) where a > b.
Given, eccentricity (e) = 2/3
The ellipse passes through (2, -5/3).
Substituting x = 2 and y = -5/3 in equation of ellipse, we get
The required equation of ellipse is \(\frac {x^2}{9} + \frac {y^2}{5} =1\)
