Pre-Algebra Examples

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

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Simplify the left side.

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Step 1.2.1

Combine $\frac{1}{3}$ and $x$ .

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

Step 1.3

Subtract $\frac{x}{3}$ from both sides of the equation.

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

Step 1.4

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

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Step 1.4.1

Reorder $- 2$ and $- \frac{x}{3}$ .

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

Step 1.4.2

Reorder terms.

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

Step 1.4.3

Remove parentheses.

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

Step 2

Using the slope-intercept form, the slope is $- \frac{1}{3}$ .

$m = - \frac{1}{3}$

Step 3