The given equation is
[tex]3x-2y=18[/tex]
x intercept
To find the x intercept, we have to plug 0 for y and solve for x.That is
[tex]3x-2(0)=18 \\ 3x=18 \\ x=6[/tex]
So x intercept is (6,0) .
y intercept
To find the y intercept , we have to plug 0 for x and solve for y. That is
[tex]3(0)-2y=18 \\ -2y=18 \\ y=-9[/tex]
So the y intercept is (0,-9) .