Identify which equation goes with which color explain your thinking

Given the equations:
[tex]\begin{gathered} y\text{ = 2x+6} \\ y\text{ = }3+\frac{1}{3}x \\ y\text{ = -6x-9} \end{gathered}[/tex]The graph of the above equations are as shown below:
Hence,
[tex]\begin{gathered} y\text{ =2x + 6 }\Rightarrow\text{ blue} \\ y\text{ = 3+}\frac{1}{3}x\text{ }\Rightarrow\text{ gre}en \\ y\text{ = -6x-9 }\Rightarrow red \end{gathered}[/tex]