Answer
See image
Work Step by Step
$\left[\begin{array}{ll}
\text{x-intercepts:} & \text{y-intercepts:}\\
9x^{2}+4(0)y=36 & 9(0)+4y=36\\
9x^{2}=36 & 4y=36\\
x^{2}=4 & y=9\\
x=\pm 2 & \\
(-2,0),(2,0) & (0,9)\\
&
\end{array}\right]$
Additional points:
$4y=36-9x^{2}$
$y=9-\displaystyle \frac{9}{4}x^{2}$
$\left[\begin{array}{ll}
x & y\\
4 & -27\\
-4 & -27
\end{array}\right]$
