Which equation is equivalent to 2x + 6y = 12?

Option C, y = - 1/3x + 2

Step-by-step explanation:

2x + 6y = 12

Step 1: Solve for y

2x + 6y - 2x = 12 - 2x

6y / 6 = (12 - 2x) / 6

y = 2 - 1/3x

Answer: Option C, y = - 1/3x + 2

y = (1/3) x + 2

Step-by-step explanation:

2x + 6y = 12 can be reduced by dividing all three terms by 2; we get:

1x + 3y = 6.

We solve for y. First, subtract 1x from both sides, obtaining:

3y = - 1x + 6.

Next, divide all three terms by 3. We get

y = (1/3) x + 2