For the linear equation \( y = -\frac{1}{5}x + 7 \), we can identify the slope and the y-intercept as follows:

- **Slope (m):** The coefficient of \( x \) in the equation is the slope. Here, the slope is \( m = -\frac{1}{5} \).
  
- **Y-intercept (b):** The constant term in the equation represents the y-intercept, which is the value of \( y \) when \( x = 0 \). Here, the y-intercept is \( b = 7 \).

### Summary:
- **Slope:** \( m = -\frac{1}{5} \)
- **Y-intercept:** \( b = 7 \)

Would you like further details on how these are determined or any other questions?

Here are 5 related questions you might find interesting:
1. How does the slope of a line affect its steepness?
2. What is the significance of a positive vs. negative slope?
3. How can you find the x-intercept of the equation \( y = -\frac{1}{5}x + 7 \)?
4. How would the graph of \( y = -\frac{1}{5}x + 7 \) change if the slope was positive?
5. What does the y-intercept tell us about the graph of a line?

**Tip:** The slope tells you how much \( y \) changes for a unit change in \( x \). A negative slope means the line decreases as you move from left to right.

Explore how to identify slope and y-intercept in linear equations using an example equation y = -1/5x + 7. Learn the significance of slope and y-intercept in graphing linear equations. Suitable for Grades 7-9 students.

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