Write in y=mx+b Form x=3-3y

$x = 3 - 3 y$

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

$y = m x + b$

Rewrite in slope-intercept form.

Rewrite the equation as $3 - 3 y = x$ .

$3 - 3 y = x$

Subtract $3$ from both sides of the equation.

$- 3 y = x - 3$

Divide each term in $- 3 y = x - 3$ by $- 3$ and simplify.

Divide each term in $- 3 y = x - 3$ by $- 3$ .

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

Divide $- 3$ by $- 3$ .

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

Write in $y = m x + b$ form.

Reorder terms.

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

Remove parentheses.

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