Let's work through the input and output table from the image you provided.

The expression (rule) is given as: $y = -3x - 3$

Now, we will substitute each input value (x) into this expression to get the corresponding output (y).

1. For $x = -1$: $y = -3(-1) - 3 = 3 - 3 = 0$ So, the output for $x = -1$ is $y = 0$.

2. For $x = 0$: $y = -3(0) - 3 = 0 - 3 = -3$ So, the output for $x = 0$ is $y = -3$.

3. For $x = 1$: $y = -3(1) - 3 = -3 - 3 = -6$ So, the output for $x = 1$ is $y = -6$.

4. For $x = 2$: $y = -3(2) - 3 = -6 - 3 = -9$ So, the output for $x = 2$ is $y = -9$.

Here is the completed table:

Would you like assistance with plotting the points on the graph or anything else?

Here are some related questions:

1. How does changing the coefficient in the expression affect the slope of the line?
2. What happens to the outputs if you change the rule to $y = -3x + 3$?
3. Can you find the slope and y-intercept from the equation $y = -3x - 3$?
4. How would the outputs change if you doubled the input values?
5. How does the table of values relate to the graph of the function?

Tip: When filling out input-output tables, it's useful to first calculate each value systematically, and then double-check by substituting the inputs back into the rule.