[tex]3y=x+2\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{y=\frac{1}{3}x+\frac{2}{3}}\leftarrow this\ is\ a\ linear\ function\ in\ the\ slope-intercept\ form\\\\Domain\ of\ the\ linear\ function\ is\ the\ real\ set\to D:x\in\mathbb{R}\\\\Range\ of\ the\ linear\ function\ (if\ y\neq constans)\ is\ the\ real\ set\to y\in\mathbb{R}[/tex]