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Write an equation and slope intercept form, then find the slope in the white intercept of each line

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.

Write an equation and slope intercept form, then find the slope and y-intercept of each line.

Learn how to convert linear equations into slope-intercept form and determine the slope and y-intercept. This problem involves algebraic manipulation and graphing concepts, suitable for students in Grades 8-10.

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