Pre-Algebra Examples

$y = \frac{4}{8} x - 1$

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 right side.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Cancel the common factor of $4$ and $8$ .

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Step 1.2.1.1.1

Factor $4$ out of $4$ .

$y = \frac{4 (1)}{8} x - 1$

Step 1.2.1.1.2

Cancel the common factors.

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Step 1.2.1.1.2.1

Factor $4$ out of $8$ .

$y = \frac{4 \cdot 1}{4 \cdot 2} x - 1$

Step 1.2.1.1.2.2

Cancel the common factor.

$y = \frac{4 \cdot 1}{4 \cdot 2} x - 1$

Step 1.2.1.1.2.3

Rewrite the expression.

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

Step 1.2.1.2

Combine $\frac{1}{2}$ and $x$ .

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

Step 1.3

Reorder terms.

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

Step 2

Using the slope-intercept form, the slope is $\frac{1}{2}$ .

$m = \frac{1}{2}$

Step 3