Question

How do you turn

3y-x=6
Into
y=Mx+b form

Answer 1

To turn 3y - x = 6, solve for y.

• Add x to both sides.

3y = 6 + x

• Divide both sides by 3.

y = 2 + x/3

• x/3 is the same as 1/3x, so rewrite.

y = 2 + 1/3x

• Since y = mx + b has mx first, let's switch around the terms.

y = 1/3x + 2

• is your answer.

Answer 2

Since you want to get to slope-intercept form,
`y=mx+b`, you want to get y isolated on one side of the equation.

We are given:

`3y-x=6`

Let us first get 3y all by itself on one side of the equation. The easiest way to do that would be to add x to both sides, which cancels the -x on the left. We will be left with:

`3y=x+6`

However, we can't have the coefficient of 3 on the variable y, or it won't be in slope-intercept form. So, we must divide both sides by 3.

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

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

Simplify.

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

Useful note:
`(x)/(3)` is the same as
`(1)/(3)x`. This goes with any other fraction as well.