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).