Question

Describe the graph of the line x = 5.

vertical line

crosses the y-axis

horizontal line

line with slope of 5

Answer 1

The graph of the line \( x = 5 \) is a **vertical line** that crosses the x-axis at the point (5, 0). This line extends infinitely in both the positive and negative directions along the y-axis, but it does not cross or intersect the y-axis itself. Since the value of \( x \) is always 5, the y-coordinate can be any real number.

To summarize:

- **Vertical line**
- Does not cross the y-axis
- It is not a horizontal line
- It does not have a slope of 5 (in fact, vertical lines have an undefined slope)