In Problems 5–8, find the slope and y intercept of the graph of
each equation.
5. y = 5x - 7 6. y = 3x + 2
7. y = - 5
2 x - 9 8. y = - 10
3 x + 4

Let's find the slope and y-intercept for each of the given equations. All of them are in **slope-intercept form**, which is:

\[
y = mx + b
\]

Here:
- \( m \) represents the slope.
- \( b \) represents the y-intercept.

### 5. \( y = 5x - 7 \)
- **Slope (m)**: \( 5 \)
- **Y-intercept (b)**: \( -7 \) (the point \( (0, -7) \))

### 6. \( y = 3x + 2 \)
- **Slope (m)**: \( 3 \)
- **Y-intercept (b)**: \( 2 \) (the point \( (0, 2) \))

### 7. \( y = -\frac{5}{2}x - 9 \)
- **Slope (m)**: \( -\frac{5}{2} \)
- **Y-intercept (b)**: \( -9 \) (the point \( (0, -9) \))

### 8. \( y = -\frac{10}{3}x + 4 \)
- **Slope (m)**: \( -\frac{10}{3} \)
- **Y-intercept (b)**: \( 4 \) (the point \( (0, 4) \))

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Would you like more details on how to graph these equations or interpret the slope and intercept?

### Follow-up questions:
1. How do you graph a line using the slope and y-intercept?
2. What does a positive slope indicate in terms of the line's direction?
3. How does the y-intercept affect where the line crosses the y-axis?
4. How can you determine the slope from two points on a line?
5. What happens if the slope is zero?

### Tip: 
The slope tells you how steep the line is and in which direction it moves; a positive slope rises, and a negative slope falls.

In Problems 5–8, find the slope and y-intercept of the graph of each equation.
5. y = 5x - 7
6. y = 3x + 2
7. y = - 5/2 x - 9
8. y = - 10/3 x + 4

Learn how to find the slope and y-intercept for the linear equations y = 5x - 7, y = 3x + 2, y = -5/2x - 9, and y = -10/3x + 4. This problem covers key algebraic concepts such as the slope-intercept form and graphing linear equations. Suitable for students in Grades 6-8.

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