The image shows two problems. Let's break them down:

24. $-\frac{1}{2}x - y = \frac{3}{4}$

We need to convert this equation into slope-intercept form, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

1. Start by isolating $y$ on one side: $-y = \frac{1}{2}x + \frac{3}{4}$

2. Multiply the whole equation by -1 to solve for $y$: $y = -\frac{1}{2}x - \frac{3}{4}$

Now, we have the equation in slope-intercept form: $y = -\frac{1}{2}x - \frac{3}{4}$

• Slope (m) = $-\frac{1}{2}$
• Y-intercept (b) = $-\frac{3}{4}$

27. $y = 7$

This is already in slope-intercept form. It's a horizontal line where:

• Slope (m) = $0$ (since there's no $x$-term)
• Y-intercept (b) = $7$

Would you like more details or have any questions about these steps?

Here are 5 relative questions to expand your understanding:

1. How do you find the slope of a line from two given points?
2. What is the geometric interpretation of the slope and y-intercept?
3. How do you handle vertical lines, where the slope is undefined?
4. What changes occur to a line when the slope becomes steeper or flatter?
5. Can the slope of a line be expressed in decimal form, and how does that affect interpretation?

Tip: Always ensure that the equation is properly rearranged into slope-intercept form before identifying the slope and intercepts.