Answer
See graph
Work Step by Step
$$9x^2+4y^2=36$$
$$\frac{x^2}{4}+\frac{y^2}{9}=1$$
This is an ellipse with center (0,0). The vertices are (0,3) and (0,-3). The covertices are (2,0) and (-2,0). Plot these points and connect with a smooth ellipse.