To rewrite the equation $2x - 4y = -16$ into slope-intercept form ($y = mx + b$), follow these steps:

Step-by-Step Solution:

1. Start with the given equation: $2x - 4y = -16$

2. Isolate the $y$-term by subtracting $2x$ from both sides: $-4y = -2x - 16$

3. Solve for $y$ by dividing everything by $-4$: $y = \frac{-2x - 16}{-4}$

4. Simplify the fractions: $y = \frac{-2x}{-4} + \frac{-16}{-4}$ This becomes: $y = \frac{1}{2}x + 4$

Final Answer:

The slope-intercept form of the equation is: $y = \frac{1}{2}x + 4$

In this form, the slope ($m$) is $\frac{1}{2}$ and the y-intercept ($b$) is $4$.

Would you like more details or have any questions about this?

Here are five related questions for further exploration:

1. What is the slope of the line, and how do you interpret it?
2. How do you graph a line using the slope-intercept form?
3. What are parallel lines, and how can you use the slope to identify them?
4. How would you find the equation of a line passing through a specific point and having the same slope?
5. Can you convert this equation into standard form again after converting it to slope-intercept form?

Tip: When simplifying fractions, always check if both terms share a common factor to simplify efficiently.