To write the equation of the line in slope-intercept form $y = mx + b$, we use the given values:

• Slope $m = -4$
• y-intercept $b = -1$

The equation of the line becomes: $y = -4x - 1$

Steps to complete the exercise:

1. Enter $y = -4x - 1$ in the equation box.
2. For graphing, plot the y-intercept at $(0, -1)$ on the graph.
3. Use the slope $-4$, which means for every 1 unit you move to the right, go down 4 units.
4. Connect these points to draw the line.

Would you like more details or have questions?

Here are related questions for further practice:

1. How would the graph look if the slope was positive instead of negative?
2. What changes in the equation if the y-intercept changes?
3. How do you find the x-intercept of a line given in slope-intercept form?
4. What is the slope-intercept form, and why is it useful for graphing?
5. How does changing the slope affect the angle of the line?

Tip: In slope-intercept form $y = mx + b$, the slope $m$ indicates the line's steepness and direction, while $b$ represents where the line crosses the y-axis.