Pre-Algebra Examples

$y > \frac{3}{4} x - 2$

Step 1

Find the slope and the y-intercept for the boundary line.

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Step 1.1

Rewrite in slope-intercept form.

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Step 1.1.1

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 1.1.2

Simplify the right side.

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Step 1.1.2.1

Combine $\frac{3}{4}$ and $x$ .

$y > \frac{3 x}{4} - 2$

Step 1.1.3

Reorder terms.

$y > \frac{3}{4} x - 2$

Step 1.2

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

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Step 1.2.1

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

$m = \frac{3}{4}$

$b = - 2$

Step 1.2.2

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

Slope: $\frac{3}{4}$

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

Slope: $\frac{3}{4}$

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

Slope: $\frac{3}{4}$

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

Step 2

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $\frac{3}{4} x - 2$ .

$y > \frac{3}{4} x - 2$

Step 3