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The image provided contains a question that asks, "Which function has a y-intercept of -5?" and presents several options in the following format:

- A: \( y = x + 5 \)
- B: \( y = x - 5 \)
- C: \( y = -x + 5 \)
- D: \( y = -x - 5 \)

To solve this:

The y-intercept of a function is the value of \( y \) when \( x = 0 \). This means we substitute \( x = 0 \) into each equation and see which one gives us \( y = -5 \).

Let's check each option:

1. **A: \( y = x + 5 \)**  
   Substitute \( x = 0 \):  
   \( y = 0 + 5 = 5 \).  
   So, the y-intercept is 5 (not -5).

2. **B: \( y = x - 5 \)**  
   Substitute \( x = 0 \):  
   \( y = 0 - 5 = -5 \).  
   The y-intercept is -5.

3. **C: \( y = -x + 5 \)**  
   Substitute \( x = 0 \):  
   \( y = -0 + 5 = 5 \).  
   The y-intercept is 5 (not -5).

4. **D: \( y = -x - 5 \)**  
   Substitute \( x = 0 \):  
   \( y = -0 - 5 = -5 \).  
   The y-intercept is -5.

The correct functions with a y-intercept of -5 are options **B** and **D**.

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you find the y-intercept of a function from its equation?
2. What does the slope of a function tell you about its graph?
3. How do you determine the x-intercept of a function?
4. What is the significance of the y-intercept in the context of real-world problems?
5. How would the graph of the function \( y = x - 5 \) look compared to \( y = -x - 5 \)?

**Tip:** Always check both the y-intercept and the slope when comparing linear functions, as they give you key insights into the graph's behavior.

Learn how to identify the y-intercept of a linear function by analyzing different equations. This problem focuses on determining which function has a y-intercept of -5. Suitable for students in Grades 6-8.

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