Answer
see graph
Work Step by Step
Changing the given inequality, $
-2x+y\le4
,$ to equality and then isolating $y$ result to
\begin{array}{l}\require{cancel}
-2x+y=4
\\\\
y=2x+4
.\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)+0\le4
\\\\
0+0\le4
\\\\
0\le4
\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.