Answer:
A.
Explanation:
We were given that:
[tex]\frac{1}{3}y-\frac{1}{2}x>2[/tex]
We will simplify and rewrite the equation in the standard form as shown below:
[tex]\begin{gathered} \frac{1}{3}y-\frac{1}{2}x\gt2 \\ \text{Add ''}\frac{1}{2}x\text{'' to both sides, we have:} \\ \frac{1}{3}y>\frac{1}{2}x+2 \\ \text{Multiply through each term by ''3'', we have:} \\ y>3(\frac{1}{2}x)+3(2) \\ y>\frac{3}{2}x+6 \end{gathered}[/tex]
The graph is plotted below as shown:
We will observe that the correct graph is option A
