Algebra Examples

$y \geq - 2 x + \frac{1}{2}$

Step 1

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

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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

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

$m = - 2$

$b = \frac{1}{2}$

Step 1.3

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

Slope: $- 2$

y-intercept: $(0, \frac{1}{2})$

Slope: $- 2$

y-intercept: $(0, \frac{1}{2})$

Step 2

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- 2 x + \frac{1}{2}$ .

$y \geq - 2 x + \frac{1}{2}$

Step 3