First of all, we need to remember the general equation of a line:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
where m is the slope and b is the intercept with the y axis
Now, we have to give to the equation:
![3x-9y=9](https://img.qammunity.org/2023/formulas/mathematics/college/2l4nwr0k64t0bv864u0ghfu5dxpuytu8rb.png)
The form of the general equation of line like follows:
![\begin{gathered} 3x-9y=9 \\ 3x-9=9y \\ y=(3)/(9)x-(9)/(9) \\ y=(1)/(3)x-1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/8i011vxactonneuprlxbc38jm0kj59dd33.png)
Finally the answer is slope 1/3 and the intercept of the Y axis is -1.