Right now, the equation is in standard form, you need to get it to slope intercept form.
Step 1: subtract the 3x to the other side.
[tex]6y = - 3x + 18[/tex]
Step 2: divide the 6 to both sides
[tex]y = - \frac{3}{6} + \frac{18}{6} [/tex]
Step3: This can be reduced to
[tex]y = - \frac{1}{2} + 3[/tex]
Now you are ready to answer your questions
Y-intercept: this one is easy, it's just the 3 on the end (0,3)
X-intercept: you have to solve for x
Step 1: set the equation equal to Zero
[tex] - \frac{1}{2} x + 3 = 0[/tex]
Step 2: subtract the 3 to the other side
[tex] - \frac{1}{2} x = - 3[/tex]
Step 3: multiply both sides by -2 to get rid of the fraction on the left.
[tex]1x = 6[/tex]
Step 4: technically you divide the 1 to both side, but you still get put 6.
[tex]x = 6[/tex]
FINAL ANSWER:
X-intercept (6,0)
Y-intercept (0,3)
