Algebra Examples

$y = - \frac{1}{2} x + 8$

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 $\frac{1}{2}$ .

$y = - \frac{x}{2} + 8$

Step 1.3

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

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Step 1.3.1

Reorder terms.

$y = - (\frac{1}{2} x) + 8$

Step 1.3.2

Remove parentheses.

$y = - \frac{1}{2} x + 8$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

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Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

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

$b = 8$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- \frac{1}{2}$

y-intercept: $(0, 8)$

Slope: $- \frac{1}{2}$

y-intercept: $(0, 8)$

Step 3