Write in y=mx+b Form 1/2y-1/3x-1=0

$\frac{1}{2} y - \frac{1}{3} x - 1 = 0$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the left side.

Simplify each term.

Combine $\frac{1}{2}$ and $y$ .

$\frac{y}{2} - \frac{1}{3} x - 1 = 0$

Combine $x$ and $\frac{1}{3}$ .

$\frac{y}{2} - \frac{x}{3} - 1 = 0$

Move all terms not containing $y$ to the right side of the equation.

Add $\frac{x}{3}$ to both sides of the equation.

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

Add $1$ to both sides of the equation.

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

Multiply both sides of the equation by $2$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Simplify $2 (\frac{x}{3} + 1)$ .

Apply the distributive property.

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

Combine $2$ and $\frac{x}{3}$ .

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

Multiply $2$ by $1$ .

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

Reorder terms.

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