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The activity you've shared asks to identify the value of \( m \) and \( b \) for a linear function of the form \( f(x) = mx + b \), then determine if the function is increasing, decreasing, or constant.

In this case, the function provided is \( f(x) = 8 \), which means that for any value of \( x \), the function always outputs 8. This implies that the function is a horizontal line, so it is **constant**.

### Steps:
1. **Table Completion**:
   - The function is \( f(x) = 8 \), so no matter what value \( x \) takes, \( f(x) \) remains 8.
   - The \( y \)-values will all be 8, and the ordered pairs \( (x, f(x)) \) will look like:
     \[
     (-2, 8), (-1, 8), (0, 8), (1, 8), (2, 8)
     \]

   Fill in the table:

   | \( x \) | \( f(x) = 8 \) | \( y \) | Ordered Pair \( (x, y) \) |
   |--------|-----------------|---------|----------------------------|
   | -2     | 8               | 8       | (-2, 8)                     |
   | -1     | 8               | 8       | (-1, 8)                     |
   | 0      | 8               | 8       | (0, 8)                      |
   | 1      | 8               | 8       | (1, 8)                      |
   | 2      | 8               | 8       | (2, 8)                      |

2. **Determine \( m \) and \( b \)**:
   - Since the function is constant, the slope \( m = 0 \) (no change in \( y \) as \( x \) changes).
   - The y-intercept \( b = 8 \), as the function is always 8.

3. **Nature of the Function**:
   - Because \( m = 0 \), the function is neither increasing nor decreasing; it's constant.

Thus, the slope \( m = 0 \) and the y-intercept \( b = 8 \), and the function is **constant**.

### Do you want more details or have any questions?
Here are some questions to deepen understanding:
1. How do you find the slope \( m \) in a linear equation?
2. Why does a constant function always have a slope of 0?
3. How would the graph look if \( m \) were positive?
4. What happens to the line if \( b \) changes but \( m \) remains 0?
5. Can you think of a real-world example that might be modeled by a constant function?

**Tip**: In a linear equation, the slope \( m \) dictates how steep the line is, while \( b \) indicates where the line crosses the y-axis.

Identify the value of m and b for the linear function f(x) = 8, complete the table of values, and determine if the function is increasing, decreasing, or constant.

Learn how to identify the values of m and b for the linear function f(x) = 8, complete a table of values, and determine if the function is constant. This problem covers key concepts in linear functions and the slope-intercept form. Suitable for Grades 7-9.

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