First of all, we need to remember the general equation of a line:
[tex]y=mx+b[/tex]where m is the slope and b is the intercept with the y axis
Now, we have to give to the equation:
[tex]3x-9y=9[/tex]The form of the general equation of line like follows:
[tex]\begin{gathered} 3x-9y=9 \\ 3x-9=9y \\ y=\frac{3}{9}x-\frac{9}{9} \\ y=\frac{1}{3}x-1 \end{gathered}[/tex]
Finally the answer is slope 1/3 and the intercept of the Y axis is -1.