Answer
$\frac{x^{2}}{4}+\frac{y^{2}}{25}=1$
Work Step by Step
The major axis is along the y-axis. Therefore, the equation of the ellipse is of the form
$\frac{x^{2}}{b^{2}}+\frac{y^{2}}{a^{2}}=1$ where a is the semi-major axis and b is the semi-minor axis.
From the graph, we find that a=5 and b=2.
Therefore, the equation of the ellipse is
$\frac{x^{2}}{4}+\frac{y^{2}}{25}=1$