Answer
Please see the graph.
Work Step by Step
$x^2/4 + y^2/9 \leq1$
Since the graph has a less than or equal to sign, we use a solid line for the graph.
We pick a point to determine what side of the graph to shade—we pick $(2,2)$.
$x^2/4 + y^2/9 \leq1$
$2^2/4 + 2^2/9 \leq1$
$4/4 + 4/9 \leq1$
$13/9 \leq1$ (false)
We shade the side of the graph without the point.