Write in y=mx+b Form 3x+3y+33=0

$3 x + 3 y + 33 = 0$

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.

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

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Subtract $3 x$ from both sides of the equation.

$3 y + 33 = - 3 x$

Subtract $33$ from both sides of the equation.

$3 y = - 3 x - 33$

Divide each term by $3$ and simplify.

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Divide each term in $3 y = - 3 x - 33$ by $3$ .

$\frac{3 y}{3} = \frac{- 3 x}{3} + \frac{- 33}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 y}{3} = \frac{- 3 x}{3} + \frac{- 33}{3}$

Divide $y$ by $1$ .

$y = \frac{- 3 x}{3} + \frac{- 33}{3}$

Simplify each term.

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Cancel the common factor of $- 3$ and $3$ .

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Factor $3$ out of $- 3 x$ .

$y = \frac{3 (- x)}{3} + \frac{- 33}{3}$

Cancel the common factors.

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Factor $3$ out of $3$ .

$y = \frac{3 (- x)}{3 (1)} + \frac{- 33}{3}$

Cancel the common factor.

$y = \frac{3 (- x)}{3 \cdot 1} + \frac{- 33}{3}$

Rewrite the expression.

$y = \frac{- x}{1} + \frac{- 33}{3}$

Divide $- x$ by $1$ .

$y = - x + \frac{- 33}{3}$

Divide $- 33$ by $3$ .

$y = - x - 11$

Write in y=mx+b Form 3x+3y+33=0

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