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.