Algebra Examples

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

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

Simplify the left side.

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Step 2.1.1

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

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

Step 2.2

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

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

Step 2.3

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

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Step 2.3.1

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

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

Step 2.3.2

Reorder terms.

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

Step 2.3.3

Remove parentheses.

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