Answer
See graph and explanations.
Work Step by Step
Step 1. Given $\frac{x^2}{64}+\frac{y^2}{100}=1$, we can identify $a^2=100, b^2=64$, thus $c=\sqrt {a^2-b^2}=6$. The ellipse is centered at $(0,0)$ with a vertical major axis.
Step 2. We can graph the equation as shown in the figure, and the foci can be located at $(0, \pm6)$
