The equation you provided, \( y = 2^2 \), is a constant equation. Since \( 2^2 = 4 \), the equation simplifies to \( y = 4 \).

This equation represents a horizontal line on the Cartesian plane, where the value of \( y \) is always 4, regardless of the value of \( x \). In other words, every point on this line has the coordinates \( (x, 4) \).

Here's a description of the graph:

- **Horizontal Line:** The line is horizontal and passes through the point \( (0, 4) \) on the y-axis.
- **Constant Value:** The y-value remains constant at 4 for all values of \( x \).

If you need a visual graph or have any questions, feel free to ask!

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Here are five related questions to expand on this topic:

1. How would the graph change if the equation were \( y = 2^x \) instead of \( y = 4 \)?
2. What does the graph of \( y = x^2 \) look like, and how does it differ from a horizontal line?
3. How would you graph \( y = -4 \) and how would it compare to \( y = 4 \)?
4. What is the significance of the slope in a linear equation, and what is the slope of the graph \( y = 4 \)?
5. How would you graph \( y = 4x \), and how does it differ from \( y = 4 \)?

**Tip:** For any linear equation in the form \( y = mx + b \), the graph is a straight line, where \( m \) is the slope and \( b \) is the y-intercept.

Explore the graph of y = 2^2, a constant equation simplifying to y = 4. Learn how constant equations create horizontal lines on the Cartesian plane, where the y-value remains constant regardless of the x-value. Suitable for Grades 7-9 students studying algebra and coordinate geometry.

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