Answer
see graph
Work Step by Step
Changing the given inequality, $
2x-3y\le9
,$ to equality and then isolating $y$ result to
\begin{array}{l}\require{cancel}
-3y\le-2x+9
\\\\
y\le\dfrac{-2}{-3}x+\dfrac{9}{-3}
\\\\
y\le\dfrac{2}{3}x-3
.\end{array}
Use the table of values below to graph this line.
Since the inequality used is "$
\le
$", use a solid line.
Using the test point $(
0,0
)$, then
\begin{array}{l}\require{cancel}
2(0)-3(0)\le9
\\\\
0-0\le9
\\\\
0\le9
\text{ (TRUE)}
.\end{array}
Since the solution above ended with a $\text{
TRUE
}$ statement, then the test point is $\text{
part
}$ of the solution set.