Pre-Algebra Examples

$y - \frac{1}{3} x - 1 = 0$

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

$y - \frac{x}{3} - 1 = 0$

Step 1.3

Move all terms not containing $y$ to the right side of the equation.

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Step 1.3.1

Add $\frac{x}{3}$ to both sides of the equation.

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

Step 1.3.2

Add $1$ to both sides of the equation.

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

Step 1.4

Reorder terms.

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

Step 2

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

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

Step 3