Write in y=mx+b Form 3(x+2)=6y

$3 (x + 2) = 6 y$

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.

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Simplify $3 (x + 2)$ .

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Apply the distributive property.

$3 x + 3 \cdot 2 = 6 y$

Multiply $3$ by $2$ .

$3 x + 6 = 6 y$

Rewrite the equation as $6 y = 3 x + 6$ .

$6 y = 3 x + 6$

Divide each term by $6$ and simplify.

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Divide each term in $6 y = 3 x + 6$ by $6$ .

$\frac{6 y}{6} = \frac{3 x}{6} + \frac{6}{6}$

Cancel the common factor of $6$ .

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Cancel the common factor.

$\frac{6 y}{6} = \frac{3 x}{6} + \frac{6}{6}$

Divide $y$ by $1$ .

$y = \frac{3 x}{6} + \frac{6}{6}$

Simplify each term.

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Cancel the common factor of $3$ and $6$ .

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Factor $3$ out of $3 x$ .

$y = \frac{3 (x)}{6} + \frac{6}{6}$

Cancel the common factors.

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Factor $3$ out of $6$ .

$y = \frac{3 x}{3 \cdot 2} + \frac{6}{6}$

Cancel the common factor.

$y = \frac{3 x}{3 \cdot 2} + \frac{6}{6}$

Rewrite the expression.

$y = \frac{x}{2} + \frac{6}{6}$

Divide $6$ by $6$ .

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

Rewrite in slope-intercept form.

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

Write in y=mx+b Form 3(x+2)=6y

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