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In the provided table, we see the relationship between variables \( x \) and \( y \). The values of \( y \) remain constant at 2, while the values of \( x \) change.

Since the value of \( y \) does not change as \( x \) changes, this indicates a **horizontal line**. The rate of change (or slope) of a horizontal line is always **0**, because the change in \( y \) is zero, no matter how much \( x \) changes.

The correct choice is "no slope."

If you want further details or clarification, feel free to ask!

Here are some related questions to extend your understanding:
1. How do you calculate the slope between two points?
2. What does it mean when a line has an undefined slope?
3. How can you identify a vertical line using a table of values?
4. What is the equation of a horizontal line passing through \( y = 2 \)?
5. How does the slope relate to the rate of change in real-world scenarios?

**Tip**: The slope of a line is calculated by \(\frac{\Delta y}{\Delta x}\), where \( \Delta y \) is the change in \( y \) and \( \Delta x \) is the change in \( x \).

What is the rate of change of y with respect to x?

Understand how to determine the rate of change of y with respect to x in a linear relationship. The problem uses a table with constant y values and varying x values, teaching key concepts such as slope and rate of change. Suitable for Grades 7-9 students learning linear equations.

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