## Intermediate Algebra (6th Edition)

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.