Pre-Algebra Examples

$3 y = 2 x + 6$

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

Divide each term in $3 y = 2 x + 6$ by $3$ and simplify.

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Step 2.1.1

Divide each term in $3 y = 2 x + 6$ by $3$ .

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

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $3$ .

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Step 2.1.2.1.1

Cancel the common factor.

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

Step 2.1.2.1.2

Divide $y$ by $1$ .

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

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $6$ by $3$ .

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

Step 2.2

Reorder terms.

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