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To graph the equation \( y = 2 \), let's break it down:

- The equation \( y = 2 \) is a **horizontal line** because for every value of \( x \), \( y \) remains constant at 2.
- To plot this on a graph, you can choose any values for \( x \) (like \( x = -2, 0, 2, \) etc.), and \( y \) will always be 2.

### Steps to graph:
1. Choose points for \( x \) (e.g., \( x = -2, 0, 2 \)).
2. For each \( x \)-value, plot the corresponding point where \( y = 2 \).
3. Draw a straight horizontal line passing through all these points.

This line will intersect the y-axis at \( y = 2 \) and will be parallel to the x-axis.

Would you like a visual representation or any further clarifications?

Here are 5 related questions to expand your understanding:
1. What would the graph look like for \( y = -3 \)?
2. How does the graph of \( x = 3 \) differ from \( y = 2 \)?
3. Can you find the slope of a horizontal line like \( y = 2 \)?
4. What happens to the graph if the equation changes to \( y = x + 2 \)?
5. What is the general equation form for horizontal lines?

**Tip:** A horizontal line's slope is always zero because the \( y \)-value doesn't change!

Graph the equation y = 2 by plotting points.

Learn how to graph the horizontal line y = 2 by plotting points on the coordinate plane. This problem introduces key concepts such as graphing linear equations and understanding the behavior of horizontal lines, ideal for students in Grades 6-8.

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