Answer
see graph
Work Step by Step
Changing the given inequality, $
2x\le6y
,$ to equality and then isolating $y$ result to
\begin{array}{l}\require{cancel}
2x=6y
\\\\
\dfrac{2}{6}x=y
\\\\
y=\dfrac{1}{3}x
.\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 $(
0,2
)$, then
\begin{array}{l}\require{cancel}
2(0)\le6(2)
\\\\
0\le12
\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.
