Let's graph the given equation $y = -\frac{1}{5}x + 4$ using the information from the image.

The equation is in the slope-intercept form $y = mx + b$, where:

• $m = -\frac{1}{5}$ is the slope, indicating the line decreases by 1 unit vertically for every 5 units it moves horizontally.
• $b = 4$ is the y-intercept, meaning the line crosses the y-axis at $y = 4$.

Steps to graph:

1. Start at the y-intercept: Plot the point (0, 4) on the graph.
2. Use the slope: From (0, 4), the slope $-\frac{1}{5}$ tells us to move down 1 unit and right 5 units. Plot the point at (5, 3).
3. Extend the line: Continue plotting points along the line by using the slope, or draw a straight line through the two points you plotted.

Let me know if you'd like me to graph this step-by-step for you or if you'd like further explanations!

Here are 5 follow-up questions:

1. What does the slope represent in this equation?
2. How would the graph change if the slope were positive?
3. Where does the line cross the x-axis?
4. How would the graph look if the y-intercept were negative?
5. What happens to the line if you change the slope to zero?

Tip: Always plot the y-intercept first when graphing lines in slope-intercept form!