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The graph shows a vertical line passing through \( x = 6 \) on the coordinate plane. 

### Analyzing the line:
1. **Equation of the line**: Since the line is vertical and crosses the \(x\)-axis at \(x = 6\), the equation of the line is \( x = 6 \).
2. **Slope of a vertical line**: The slope of a vertical line is undefined because the change in \(x\) is 0, which would make the slope calculation involve division by zero.

### Correct Answer:
The correct answer is **D. \( x = 6 \); slope is undefined**.

Would you like more details or have any other questions?

Here are 5 related questions for further practice:
1. How do you calculate the slope of a horizontal line?
2. What is the slope of a line that passes through points \((2, 3)\) and \((5, 3)\)?
3. What is the equation of a line with a slope of 2 and passes through point \((1, 4)\)?
4. What is the difference between the slope of a vertical line and a horizontal line?
5. How would you find the equation of a line perpendicular to \(x = 6\)?

**Tip**: For any vertical line, the equation is always of the form \( x = \text{constant} \), and its slope is always undefined.

What are the equation and slope of the line?

This problem asks to determine the equation and slope of a vertical line from a graph, focusing on key algebra concepts. Suitable for students in Grades 8-10.

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