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.

$\frac{3y}{3}=\frac{x}{3}+\frac{6}{3}$

$y=\frac{x}{3}+2$

Simplify.

$y=\frac{1}{3}x+2$

Useful note: $\frac{x}{3}$ is the same as $\frac{1}{3}x$. This goes with any other fraction as well.