The equation you provided is \( x = -3 \), which represents a vertical line. 

For vertical lines, the slope is undefined because the change in \( x \) is 0 (no horizontal movement), and the slope formula involves division by the change in \( x \). Dividing by 0 is undefined.

Thus, the slope of the line \( x = -3 \) is **undefined**.

Would you like further clarification or more details on this concept?

Here are five related questions you might find interesting:
1. What is the slope of the line \( y = 5 \), and how is it different from a vertical line?
2. How do you find the slope between two points?
3. What is the significance of a line with zero slope?
4. Can you have a slope of 0 in real-world applications? What does it mean?
5. What happens to the slope when a line is neither vertical nor horizontal?

**Tip:** The slope of a line can be thought of as the "steepness" or "incline" of the line. For non-vertical lines, it's calculated as the rise (change in \( y \)) over the run (change in \( x \)).

This page explains why the slope of a vertical line, like x = -3, is undefined. Learn about the concept of slopes in coordinate geometry, the slope formula, and why division by zero leads to an undefined slope. Suitable for students in Grades 8-10.

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