Pre-Algebra Examples

$y = \frac{11}{2} - \frac{1}{2} x$

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

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

$y = \frac{11}{2} - \frac{x}{2}$

Step 1.3

Reorder $\frac{11}{2}$ and $- \frac{x}{2}$ .

$y = - \frac{x}{2} + \frac{11}{2}$

Step 1.4

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

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Step 1.4.1

Reorder terms.

$y = - (\frac{1}{2} x) + \frac{11}{2}$

Step 1.4.2

Remove parentheses.

$y = - \frac{1}{2} x + \frac{11}{2}$

Step 2

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

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

Step 3