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.
![6y = - 3x + 18](https://tex.z-dn.net/?f=6y%20%3D%20%20-%203x%20%2B%2018)
Step 2: divide the 6 to both sides
![y = - \frac{3}{6} + \frac{18}{6}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B6%7D%20%20%2B%20%20%5Cfrac%7B18%7D%7B6%7D%20)
Step3: This can be reduced to
![y = - \frac{1}{2} + 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%203)
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
![- \frac{1}{2} x + 3 = 0](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%203%20%3D%200)
Step 2: subtract the 3 to the other side
![- \frac{1}{2} x = - 3](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%3D%20%20-%203)
Step 3: multiply both sides by -2 to get rid of the fraction on the left.
![1x = 6](https://tex.z-dn.net/?f=1x%20%3D%206)
Step 4: technically you divide the 1 to both side, but you still get put 6.
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
FINAL ANSWER:
X-intercept (6,0)
Y-intercept (0,3)