The given equation is $y = x + 5$, and we are solving for $x$ for each given $y$.

We can rearrange the equation to solve for $x$:

$x = y - 5$

Now, applying this formula to each $y$-value in the table:

• When $y = -4$, $x = -4 - 5 = -9$
• When $y = 0$, $x = 0 - 5 = -5$
• When $y = 4$, $x = 4 - 5 = -1$
• When $y = 8$, $x = 8 - 5 = 3$
• When $y = 12$, $x = 12 - 5 = 7$

Thus, the corresponding $x$-values for the table are: $x = -9, -5, -1, 3, 7$

Let me know if you'd like further details or have any questions!

Here are 5 related questions:

1. What would the equation look like if we changed the constant from 5 to another number, say 3?
2. How would the values of $x$ change if the equation were $y = 2x + 5$?
3. What happens to the graph of this equation as the constant term increases or decreases?
4. How would you complete the table if the equation was $y = -x + 5$?
5. Can you solve for $y$ if $x$ is given as 10?

Tip: Whenever you have a linear equation like $y = x + 5$, rearranging it to solve for a variable can help you understand how changes in one variable affect the other.