Answer:
[tex]y=\frac{2}{3}x-2[/tex]Step-by-step explanation:
A linear function is represented by the following function in slope-intercept form:
[tex]y=mx+b[/tex]Therefore, to reorganize in slope-intercept form the given equation, isolate y using inverse operations to solve equations;
[tex]\begin{gathered} 2x-3y-6=0 \\ -3y=-2x+6 \\ y=\frac{-2}{-3}x+\frac{6}{-3} \\ y=\frac{2}{3}x-2 \end{gathered}[/tex]