Question

write the slope and y- intercept of each equation.

1. y = -8x +9


2. y = -4x - 1

3.y = 10x - 3

4.y= 3x -7

5. y = 4x + 5

6. y = -8x - 2

7. y =x - 6

8.y= -9x + 5

9. y = -3x + 8

10. y=7x + 4

11.y= -2y - y

12.y= 6x +13

Answer 1

For each equation of the form \( y = mx + b \), the slope \( m \) is the coefficient of \( x \), and the y-intercept \( b \) is the constant term. Let's go through each equation you provided:

1. \( y = -8x + 9 \)
- Slope: -8
- Y-intercept: 9

2. \( y = -4x - 1 \)
- Slope: -4
- Y-intercept: -1

3. \( y = 10x - 3 \)
- Slope: 10
- Y-intercept: -3

4. \( y = 3x - 7 \)
- Slope: 3
- Y-intercept: -7

5. \( y = 4x + 5 \)
- Slope: 4
- Y-intercept: 5

6. \( y = -8x - 2 \)
- Slope: -8
- Y-intercept: -2

7. \( y = x - 6 \)
- Slope: 1 (since it can be written as \( y = 1x - 6 \))
- Y-intercept: -6

8. \( y = -9x + 5 \)
- Slope: -9
- Y-intercept: 5

9. \( y = -3x + 8 \)
- Slope: -3
- Y-intercept: 8

10. \( y = 7x + 4 \)
- Slope: 7
- Y-intercept: 4

11. \( y = -2y - y \) can be simplified to \( y = -3y \), which needs rearrangement:
- Rearranging gives \( 4y = 0 \) (or \( y = 0 \)).
- Slope: 0 (horizontal line)
- Y-intercept: 0

12. \( y = 6x + 13 \)
- Slope: 6
- Y-intercept: 13

In summary:

1. \( m = -8, b = 9 \)
2. \( m = -4, b = -1 \)
3. \( m = 10, b = -3 \)
4. \( m = 3, b = -7 \)
5. \( m = 4, b = 5 \)
6. \( m = -8, b = -2 \)
7. \( m = 1, b = -6 \)
8. \( m = -9, b = 5 \)
9. \( m = -3, b = 8 \)
10. \( m = 7, b = 4 \)
11. \( m = 0, b = 0 \)
12. \( m = 6, b = 13 \)