To find the x and the y intercepts it is necessary to replace for 0 the variable that you don't need and then clear the needed one from the equation.
It means, to find the x intercept, replace y for 0 and clear x from the equation:
[tex]\begin{gathered} 2x-3y=-18 \\ 2x-3\cdot0=-18 \\ 2x=-18 \\ x=-\frac{18}{2} \\ x=-9 \end{gathered}[/tex]The x intercept is -9
To find the y intercept, replace x for 0 and clear y from the equation:
[tex]\begin{gathered} 2x-3y=-18 \\ 2\cdot0-3y=-18 \\ -3y=-18 \\ y=-\frac{18}{-3} \\ y=6 \end{gathered}[/tex]The y intercept is 6
