Question

Write the slope-intercept form of the equation of each line. Please show work.

1) 2x − 3y = 24
2) 2x − y = 4
3) 7x − 5y = 35
4) x − y = 0
5) 4x − y = 2
6) 4x − 3y = −6
7) y + 4 = 1 2 (x − 2)
8) y = − 5 2 (x + 2)
9) y − 5 = −2(x + 2)
10) y − 1 = 5(x − 1)
11) y + 2 = 1 2 (x + 2)
12) y − 4 = −(x − 4)

Answer 1

12)
`y = -x + 8`

11)
`y = 12x + 22`

10)
`y = 5x - 4`

9)
`y = -2x + 1`

8)
`y = 2x + 9`

7)
`y = 12x - 28`

6)
`y = 1(1)/(3)x + 2`

5)
`y = 4x - 2`

4)
`y = x`

3)
`y = 1(2)/(5)x - 7`

2)
`y = 2x - 4`

1)
`y = (2)/(3)x - 8`

Explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

`y = -x + 8`

_____________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

`y = 12x + 22`

_____________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

`y = 5x - 4`

_____________________________________________

9)

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

__________

`y = -2x + 1`

_____________________________________________

8)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

`y = 2x + 9`

_____________________________________________

7)

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

`y = 12x - 28`

_____________________________________________

6)

4x - 3y = −6

-4x - 4x

________

−3y = −4x - 6

___ _____

−3 −3

`y = 1(1)/(3) + 2`

_____________________________________________

5)

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

`y = 4x - 2`

_____________________________________________

4)

x - y = 0

______

−y = −x

`y = x`

_____________________________________________

3)

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

`y = 1(2)/(5)x - 7`

_____________________________________________

2)

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

`y = 2x - 4`

_____________________________________________

1)

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

`y = (2)/(3)x - 8`

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