Answer
see graph
Work Step by Step
Changing the given inequality, $
5x-2y\le9
,$ to equality and then isolating $y$ result to
\begin{array}{l}\require{cancel}
5x-2y=9
\\\\
-2y=-5x+9
\\\\
y=\dfrac{-5}{-2}x+\dfrac{9}{-2}
\\\\
y=\dfrac{5}{2}x-\dfrac{9}{2}
.\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}
5(0)-2(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.