Algebra Examples

$y + 5 x > 0$

Step 1

Subtract

$5 x$ from both sides of the inequality.

$y > - 5 x$

Step 2

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

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Step 2.1

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 2.2

Find the values of

$m$ and

$b$ using the form

$y = m x + b$ .

$m = - 5$

$b = 0$

Step 2.3

The slope of the line is the value of

$m$ , and the y-intercept is the value of

$b$ .

Slope:

$- 5$

y-intercept:

$(0, 0)$

Slope:

$- 5$

y-intercept:

$(0, 0)$

Step 3

Graph a dashed line, then shade the area above the boundary line since

$y$ is greater than

$- 5 x$ .

$y > - 5 x$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$