complete the table of values for the equation y=x+5. then choose a suitable scale and draw the graph.

To complete the table of values for the equation \( y = x + 5 \), we select a range of \( x \)-values and compute the corresponding \( y \)-values. Here's the completed table for a few values:

| \( x \) | \( y = x + 5 \) |
|:-------:|:--------------:|
| -3      | 2              |
| -2      | 3              |
| -1      | 4              |
| 0       | 5              |
| 1       | 6              |
| 2       | 7              |
| 3       | 8              |

### Graphing the Equation
1. **Choose a Scale**: Since the values of \( y \) range from 2 to 8 and \( x \) from -3 to 3, a suitable scale might be 1 unit per square for both \( x \) and \( y \).

2. **Plot Points**: Using the table, plot each point (e.g., (-3, 2), (-2, 3), ..., (3, 8)) on a coordinate plane.

3. **Draw the Line**: Connect the points with a straight line, as the equation \( y = x + 5 \) represents a linear function.

4. **Label the Graph**: Clearly label the axes and mark the equation on the graph.

If you'd like, I can provide a digital graph of this equation. Let me know if you want details on the graphing process or have any questions!

### Related Questions
1. What is the slope of the line \( y = x + 5 \)?
2. How would the graph change if the equation was \( y = 2x + 5 \)?
3. What is the \( y \)-intercept of the equation \( y = x + 5 \)?
4. How can you determine if a point is on the line \( y = x + 5 \)?
5. What is the inverse function of \( y = x + 5 \)?

**Tip:** For any linear equation \( y = mx + b \), \( m \) represents the slope and \( b \) the \( y \)-intercept, making it easy to graph directly.

Learn how to complete the table of values for the linear equation y = x + 5 and draw the graph. This solution includes selecting a scale, plotting points, and connecting them to form a straight line. Ideal for Grades 6-8, covering key concepts like slope, y-intercept, and graphing techniques.

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