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You have provided an image of a table that shows the equation \( y = 2x \), and a list of \( x \) values that need corresponding \( y \) values. To fill in the table, we simply need to substitute the given values of \( x \) into the equation.

The equation is:
\[
y = 2x
\]

Let's compute the \( y \) values for each \( x \):

1. For \( x = -3 \):
   \[
   y = 2(-3) = -6
   \]
   
2. For \( x = -2 \):
   \[
   y = 2(-2) = -4
   \]

3. For \( x = -1 \):
   \[
   y = 2(-1) = -2
   \]

4. For \( x = 0 \):
   \[
   y = 2(0) = 0
   \]

Now, the completed table looks like this:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-3 & -6 \\
-2 & -4 \\
-1 & -2 \\
0 & 0 \\
\hline
\end{array}
\]

Would you like more details or further explanation on how this was calculated? 

Here are some related questions you might explore:
1. How would the table change if the equation was \( y = 3x \)?
2. What happens to the \( y \)-values if you change the sign of \( x \)?
3. How can we graph the equation \( y = 2x \)?
4. What is the slope of the line represented by \( y = 2x \)?
5. Can you find the \( y \)-values if \( x = 1 \) and \( x = 2 \)?

**Tip:** The equation \( y = 2x \) is a linear equation, and the coefficient of \( x \) (in this case, 2) determines the steepness of the line when graphed.

You have provided an image of a table showing the equation y = 2x, with x values needing corresponding y values. The task is to fill in the table by substituting x values into the equation.

This problem involves solving the linear equation y = 2x for given x values (-3, -2, -1, 0). Discover how to substitute x values into the equation to calculate corresponding y values. Suitable for students in Grades 6-8.

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