Precalculus Examples

$2 x = 3 - 3 y$

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.

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Step 2.1

Rewrite the equation as $3 - 3 y = 2 x$ .

$3 - 3 y = 2 x$

Step 2.2

Subtract $3$ from both sides of the equation.

$- 3 y = 2 x - 3$

Step 2.3

Divide each term in $- 3 y = 2 x - 3$ by $- 3$ and simplify.

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Step 2.3.1

Divide each term in $- 3 y = 2 x - 3$ by $- 3$ .

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

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $- 3$ .

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Step 2.3.2.1.1

Cancel the common factor.

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

Step 2.3.2.1.2

Divide $y$ by $1$ .

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

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Move the negative in front of the fraction.

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

Step 2.3.3.1.2

Divide $- 3$ by $- 3$ .

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

Step 2.4

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

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Step 2.4.1

Reorder terms.

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

Step 2.4.2

Remove parentheses.

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