Write in Slope-Intercept Form 1/3y=2x-1

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

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.

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

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

Multiply both sides of the equation by $3$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$y = 3 (2 x - 1)$

Simplify the right side.

Simplify $3 (2 x - 1)$ .

Apply the distributive property.

$y = 3 (2 x) + 3 \cdot - 1$

Multiply.

Multiply $2$ by $3$ .

$y = 6 x + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$y = 6 x - 3$