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The equation given in the image is \( x = y - 4 \), and you are asked to create a table of values for integral values of \( y \) from -5 to 3. Let's solve this step by step by substituting the values of \( y \) into the equation to find the corresponding values of \( x \).

### Equation:
\[
x = y - 4
\]

### Values of \( y \):
\[
y = -5, -4, -3, -2, -1, 0, 1, 2, 3
\]

### Substituting each value of \( y \) into the equation:

1. For \( y = -5 \), \( x = -5 - 4 = -9 \)
2. For \( y = -4 \), \( x = -4 - 4 = -8 \)
3. For \( y = -3 \), \( x = -3 - 4 = -7 \)
4. For \( y = -2 \), \( x = -2 - 4 = -6 \)
5. For \( y = -1 \), \( x = -1 - 4 = -5 \)
6. For \( y = 0 \), \( x = 0 - 4 = -4 \)
7. For \( y = 1 \), \( x = 1 - 4 = -3 \)
8. For \( y = 2 \), \( x = 2 - 4 = -2 \)
9. For \( y = 3 \), \( x = 3 - 4 = -1 \)

### Completed Table of Values:

\[
\begin{array}{|c|c|}
\hline
y & x \\
\hline
-5 & -9 \\
-4 & -8 \\
-3 & -7 \\
-2 & -6 \\
-1 & -5 \\
0 & -4 \\
1 & -3 \\
2 & -2 \\
3 & -1 \\
\hline
\end{array}
\]

Let me know if you need more details or have any questions!

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### Related Questions:
1. What is the slope of the equation \( x = y - 4 \)?
2. Can you rewrite the equation \( x = y - 4 \) in slope-intercept form?
3. What would the table look like if the equation was \( x = y + 2 \)?
4. How would the graph of this equation look on a Cartesian plane?
5. What happens to \( x \) as \( y \) increases by 1?

### Tip:
When working with linear equations, it's helpful to recognize the pattern between the variables. In this case, every time \( y \) increases by 1, \( x \) also increases by 1.

Construct a table of values for the following equation: x = y - 4 for integral values of y from -5 to +3. Complete the following table of values.

Learn how to construct a table of values for the equation x = y - 4, covering the key concepts of linear equations and substitution. Explore the relation between x and y for values from -5 to +3, with a detailed step-by-step solution. Suitable for students in Grades 7-9.

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