Pre-Algebra Examples

$y < - \frac{x}{6} - 2$

Step 1

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

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Step 1.1

Reorder terms.

$y < - (\frac{1}{6} x) - 2$

Step 1.2

Remove parentheses.

$y < - \frac{1}{6} x - 2$

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 $y = m x + b$ .

$m = - \frac{1}{6}$

$b = - 2$

Step 2.2

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

Slope: $- \frac{1}{6}$

y-intercept: $(0, - 2)$

Slope: $- \frac{1}{6}$

y-intercept: $(0, - 2)$

Step 3

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- \frac{1}{6} x - 2$ .

$y < - \frac{1}{6} x - 2$

Step 4