Write an equation of the ellipse with the given information.

1. x-intercepts at $\left(±3, 0\right)$ and y-intercepts at $\left(0, ±6\right)$.

   Answer (a):

   $\frac{x^2}{9}+\frac{y^2}{36}=1$

2. x-intercepts at $( \pm \sqrt { 5 } , 0 )$ and y-intercepts at $\left(0, ±1\right)$.

   Hint (b):

   See part (a).