write the slope and y- intercept of each equation. show your work

Question

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

To identify the slope and y-intercept of each equation, we need to express them in the slope-intercept form, which is written as:

\[ y = mx + b \]

where \( m \) is the slope and \( b \) is the y-intercept.

Here are the equations you've provided:

1. Equation: \( y = -8x + 9 \)

   • Slope (m): -8
   • y-intercept (b): 9

2. Equation: \( y = -4x - 1 \)

   • Slope (m): -4
   • y-intercept (b): -1

3. Equation: \( y = 10x - 3 \)

   • Slope (m): 10
   • y-intercept (b): -3

4. Equation: \( y = 3x - 7 \)

   • Slope (m): 3
   • y-intercept (b): -7

5. Equation: \( y = 4x + 5 \)

   • Slope (m): 4
   • y-intercept (b): 5

6. Equation: \( y = -8x - 2 \)

   • Slope (m): -8
   • y-intercept (b): -2

7. Equation: \( y = x - 6 \)

   • Slope (m): 1 (since \( 1 \) is the coefficient of \( x \))
   • y-intercept (b): -6

8. Equation: \( y = -9x + 5 \)

   • Slope (m): -9
   • y-intercept (b): 5

9. Equation: \( y = -3x + 8 \)

   • Slope (m): -3
   • y-intercept (b): 8

10. Equation: \( y = 7x + 4 \)

• Slope (m): 7
• y-intercept (b): 4

11. Equation: \( y = -2y - y \)

• First, simplify: \[ y = -3y \implies 4y = 0 \implies y = 0 \]
• This is a horizontal line at \( y = 0 \).
• Slope (m): 0
• y-intercept (b): 0

12. Equation: \( y = 6x + 13 \)

• Slope (m): 6
• y-intercept (b): 13

In summary, here are the slopes and y-intercepts:

1. Slope: -8, y-intercept: 9
2. Slope: -4, y-intercept: -1
3. Slope: 10, y-intercept: -3
4. Slope: 3, y-intercept: -7
5. Slope: 4, y-intercept: 5
6. Slope: -8, y-intercept: -2
7. Slope: 1, y-intercept: -6
8. Slope: -9, y-intercept: 5
9. Slope: -3, y-intercept: 8
10. Slope: 7, y-intercept: 4
11. Slope: 0, y-intercept: 0
12. Slope: 6, y-intercept: 13