Write the slope-intercept form of the equation of each line. Please show work.
1) 2x βˆ’ 3y = 24
2) 2x βˆ’ y = 4
3) 7x βˆ’ 5y = 35
4) x βˆ’ y = 0
5) 4x βˆ’ y = 2
6) 4x βˆ’ 3y = βˆ’6
7) y + 4 = 1 2 (x βˆ’ 2)
8) y = βˆ’ 5 2 (x + 2)
9) y βˆ’ 5 = βˆ’2(x + 2)
10) y βˆ’ 1 = 5(x βˆ’ 1)
11) y + 2 = 1 2 (x + 2)
12) y βˆ’ 4 = βˆ’(x βˆ’ 4)

Respuesta :

Answer:

12) [tex] y = -x + 8[/tex]

11) [tex]y = 12x + 22[/tex]

10) [tex]y = 5x - 4[/tex]

9) [tex]y = -2x + 1[/tex]

8) [tex]y = 2x + 9[/tex]

7) [tex]y = 12x - 28[/tex]

6) [tex]y = 1\frac{1}{3}x + 2[/tex]

5) [tex]y = 4x - 2[/tex]

4) [tex]y = x[/tex]

3) [tex]y = 1\frac{2}{5}x - 7[/tex]

2) [tex]y = 2x - 4[/tex]

1) [tex]y = \frac{2}{3}x - 8[/tex]

Step-by-step explanation:

12)

y - 4 = βˆ’(x - 4)

y - 4 = βˆ’x + 4

+ 4 + 4

__________

[tex]y = -x + 8[/tex]

_____________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

[tex]y = 12x + 22[/tex]

_____________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

[tex]y = 5x - 4[/tex]

_____________________________________________

9)

y - 5 = βˆ’2(x + 2)

y - 5 = βˆ’2x - 4

+ 5 + 5

__________

[tex]y = -2x + 1[/tex]

_____________________________________________

8)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

[tex]y = 2x + 9[/tex]

_____________________________________________

7)

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

[tex]y = 12x - 28[/tex]

_____________________________________________

6)

4x - 3y = βˆ’6

-4x - 4x

________

βˆ’3y = βˆ’4x - 6

___ _____

βˆ’3 βˆ’3

[tex]y = 1\frac{1}{3} + 2[/tex]

_____________________________________________

5)

4x - y = 2

-4x - 4x

_______

βˆ’y = βˆ’4x + 2

[tex]y = 4x - 2[/tex]

_____________________________________________

4)

x - y = 0

______

βˆ’y = βˆ’x

[tex]y = x[/tex]

_____________________________________________

3)

7x - 5y = 35

-7x - 7x

_________

βˆ’5y = βˆ’7x + 35

___ ______

βˆ’5 βˆ’5

[tex]y = 1\frac{2}{5}x - 7[/tex]

_____________________________________________

2)

2x - y = 4

-2x - 2x

_______

βˆ’y = βˆ’2x + 4

[tex]y = 2x - 4[/tex]

_____________________________________________

1)

2x - 3y = 24

-2x - 2x

_________

βˆ’3y = βˆ’2x + 24

___ _______

βˆ’3 βˆ’3

[tex]y = \frac{2}{3}x - 8[/tex]

I am delighted to assist you anytime.