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.