The given points are (0,-3) and (3,-2).
The two slope intercept form of the line can be determined as,
[tex]\begin{gathered} \frac{y-(-3)}{x-0}=\frac{-2-(-3)}{3-0} \\ 3(y+3)=x \\ y=\frac{x}{3}-3 \end{gathered}[/tex]Thus, the given equation gives the required slope intercept form of the line.