## Intermediate Algebra (6th Edition)

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.