Write the slope-intercept form of the equation of each line. 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)

12)

11)

10)

9)

8)

7)

6)

5)

4)

3)

2)

1)

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

_____________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

_____________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

_____________________________________________

9)

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

__________

_____________________________________________

8)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

_____________________________________________

7)

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

_____________________________________________

6)

4x - 3y = −6

-4x - 4x

________

−3y = −4x - 6

___ _____

−3 −3

_____________________________________________

5)

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

_____________________________________________

4)

x - y = 0

______

−y = −x

_____________________________________________

3)

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

_____________________________________________

2)

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

_____________________________________________

1)

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

I am delighted to assist you anytime.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

89

step-by-step explanation: