The equation provided is $y = 3x - 3$. Let's use this equation to fill in the table for different values of $x$:

1. When $x = -2$: $y = 3(-2) - 3 = -6 - 3 = -9$

2. When $x = 0$: $y = 3(0) - 3 = 0 - 3 = -3$

3. When $x = 2$: $y = 3(2) - 3 = 6 - 3 = 3$

4. When $x = 4$: $y = 3(4) - 3 = 12 - 3 = 9$

So the completed table is:

Would you like further details on the calculations or have any questions?

Here are some related questions you might find helpful:

1. How do you determine the slope and y-intercept from a linear equation?
2. What is the general form of a linear equation, and how does it relate to slope-intercept form?
3. How can you graph a linear equation using a table of values?
4. What changes in the equation $y = 3x - 3$ would make the line steeper or flatter?
5. How does changing the y-intercept affect the graph of a line?

Tip: When creating a table of values for a linear equation, try using values of $x$ around zero to see both the positive and negative trends in $y$.