Slope-intercept form is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
Here, we first need to distribute the 1/3.
[tex]y-3= \frac{1}{3} x+\frac{1}{3}[/tex]
Next, we add 3 to both sides of the equation.
[tex]y= \frac{1}{3} x+\frac{10}{3}[/tex]