1. What is the slope intercept form of the equation 3x-y = - 6?

2. What is the slope intercept form of the equation x-3y=3?

3. What is the slope intercept form of the equation 9x+3y=6?

4. What is the slope intercept form of the equation x+3y=-6?

1.

3x - y = - 6

6 + 3x = y

y = 3x + 6

2.

x - 3y = 3

-3 + x = 3y

3y = x - 3

y = 1/3 (x-3)

y = x/3 - 1

3.

9x + 3y = 6

3y = - 9x + 6

y = 1/3 (-9x + 6)

y = - 3x + 2

4.

x + 3y = - 6

3y = - x - 6

y = 1/3 (-x - 6)

y = - x/3 - 2

So the problem want to ask to convert the following equation in to a slope intercept form and the formula of it is y = mx+b and the answers are the following:

#1. y = 3x+6

#2. y = x/3-1

#3. y = - 3x+2

#4. y = - x/3 - 2

I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications. Have a nice day