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The given function is \( f(x) = 5 \), which represents a horizontal line at \( y = 5 \) for all values of \( x \). Let's break down the solution:

### Slope:
Since the line is horizontal, the **slope** is \( 0 \). A horizontal line has no rise (change in \( y \)) as \( x \) changes, which gives a slope of zero.

### Vertical Intercept (Y-intercept):
The vertical intercept occurs where the line crosses the \( y \)-axis. Since the equation \( f(x) = 5 \) means \( y = 5 \) at all points, the **y-intercept** is \( 5 \).

### Horizontal Intercept (X-intercept):
A horizontal intercept happens where the line crosses the \( x \)-axis. Since the line is parallel to the \( x \)-axis and is located at \( y = 5 \), it **does not cross** the \( x \)-axis. Therefore, there is **no x-intercept**.

### Graph:
The line will be drawn horizontally at \( y = 5 \) across the graph. The line will extend in both directions indefinitely without any change in the \( y \)-value.

If you need to draw the line:
1. Mark the point where \( y = 5 \) across the entire graph.
2. Draw a straight horizontal line through this point.

Would you like more details or help with graphing it? 

Here are 5 questions to deepen understanding:
1. How do you determine the slope of a horizontal line?
2. Why does a horizontal line have no \( x \)-intercept?
3. How do vertical lines differ from horizontal lines in terms of slope?
4. Can you have a linear function with no \( y \)-intercept?
5. What happens to the slope if the line becomes vertical?

**Tip:** The slope of a line can be calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Identify the Slope and Intercepts of the function f(x) = 5. Then draw an accurate graph of the function.

Learn how to graph the linear function f(x) = 5, identify the slope as 0, and understand why there is no x-intercept but a y-intercept at 5. Suitable for middle school students (Grades 6-8).

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