Answer
See figure. $(-2,0)$
Work Step by Step
Step 1. Graph the given equations
$\begin{cases} \frac{x^2}{4}+\frac{y^2}{36}=1 \\ x=-2 \end{cases}$
as shown in the figure.
Step 2. We can identify the intersection points as $(-2,0)$
Step 3. Checking the solution with the first equation, we have $\frac{(-2)^2}{4}+\frac{0^2}{36}=1$
Step 4. Checking the solution with the second equation, we have $-2=-2$
