The equation provided is $4x + 20y = -60$, and you are asked to convert this into slope-intercept form, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Steps to solve:

1. Isolate the $y$-term: Move the $x$-term to the other side by subtracting $4x$ from both sides: $20y = -4x - 60$

2. Solve for $y$: Divide everything by 20 to isolate $y$: $y = \frac{-4x}{20} + \frac{-60}{20}$

3. Simplify the fractions: $y = \frac{-x}{5} - 3$

So, the equation in slope-intercept form is: $y = \frac{-1}{5}x - 3$

Would you like further details on how the slope and intercept were derived?

Relative Questions:

1. How do you interpret the slope $\frac{-1}{5}$ in this context?
2. What would the graph of $y = \frac{-1}{5}x - 3$ look like?
3. How does converting to slope-intercept form help in graphing lines?
4. What is the significance of the y-intercept $-3$?
5. How do you check if the slope-intercept form is correct?

Tip: Always simplify fractions when writing equations in slope-intercept form for clarity.