Tell me if the equation is reflected: y=x+4

The equation \( y = x + 4 \) represents a straight line with a slope of 1 and a y-intercept at 4. To determine if this line has been reflected, we need to know what reflection you're referring to.

- **Reflection across the x-axis**: The equation would become \( y = -(x + 4) \), or \( y = -x - 4 \).
- **Reflection across the y-axis**: The equation would become \( y = -x + 4 \).
- **Reflection across the line \( y = x \)**: The equation would become \( x = y + 4 \), or \( y = x - 4 \).

Since \( y = x + 4 \) is not altered in any of these ways, it is not reflected. 

Would you like more details or have any questions?

### Related Questions:
1. What does the graph of \( y = x + 4 \) look like?
2. How do reflections affect linear equations?
3. What is the general method for reflecting a line across the x-axis?
4. How do you reflect a line over the line \( y = x \)?
5. How would you translate the line \( y = x + 4 \) vertically or horizontally?

**Tip**: Reflections change the signs of coefficients depending on the axis or line of reflection.

Tell me if the equation is reflected: y = x + 4

Discover whether the linear equation y = x + 4 is reflected across different axes or the line y = x. This solution explores reflections in geometry, with formulas for reflecting equations across the x-axis, y-axis, and y = x. Suitable for students in Grades 8-10.

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