To complete the table for $y = 2x$, we need to find the values of $x$ that correspond to each given $y$ value.

1. The equation provided is: $y = 2x$

2. Solving for $x$ in terms of $y$: $x = \frac{y}{2}$

Now, let's calculate $x$ for each $y$ value:

• For $y = -2$: $x = \frac{-2}{2} = -1$

• For $y = 0$: $x = \frac{0}{2} = 0$

• For $y = 2$: $x = \frac{2}{2} = 1$

• For $y = 4$: $x = \frac{4}{2} = 2$

Completed Table:

If you have any more questions or need further explanation, feel free to ask!

Here are five related questions to deepen your understanding:

1. How would the table change if the equation were $y = 3x$ instead?
2. What happens to the values of $x$ if the equation is modified to $y = -2x$?
3. Can you derive an equation if given only pairs of $x$ and $y$ values?
4. How would you graph these points and what type of line would you expect?
5. If $x = 3$, what would the corresponding $y$ value be for $y = 2x$?

Tip: To check if a point fits an equation, substitute its values into the equation and verify if it holds true.