To find the x-intercept, we make y = 0.
[tex]\begin{gathered} 3x-6y=18 \\ 3x-6(0)=18 \\ 3x=18 \\ x=\frac{18}{3} \\ x=6 \end{gathered}[/tex]To find the y-intercept, we make x = 0.
[tex]\begin{gathered} 3(0)-6y=18 \\ -6y=18 \\ y=-\frac{18}{6} \\ y=-3 \end{gathered}[/tex]