Final answer:
The standard equation of an ellipse is x^2/a^2 + y^2/b^2 = 1.
Step-by-step explanation:
The standard equation of an ellipse is represented by the equation:
x^2/a^2 + y^2/b^2 = 1
where 'a' is the semi-major axis, and 'b' is the semi-minor axis of the ellipse.
For example, if 'a' is 3 and 'b' is 2, then the equation of the ellipse would be:
x^2/9 + y^2/4 = 1
This equation defines all the points (x, y) on the ellipse.