# How do you graph the inequality 2x + y > 1?

Mar 3, 2017

$y > - 2 x + 1$ is easier to plot.
Draw a dotted line and shade above the line.

#### Explanation:

The first step is to change the inequality into an easier form.

$y > - 2 x + 1$

From this we have the following:

• The $y$-intercept is at the point $\left(0 , 1\right)$

• The slope is $- 2$

• The inequality sign is $>$ so the graph will be a dotted line.

• The area above the line will be shaded

To draw the graph:

• Find the $x$-intercept by putting $y = 0$
$0 = - 2 x + 1$
$2 x = 1$
$x = \frac{1}{2}$

• Plot the point $\left(\frac{1}{2} , 0\right)$

• Plot the y-intercept at the point $\left(0 , 1\right)$

From the y-intercept $\text{rise"/"run}$ will give us 2 units up and 1 to the left.

Repeat this process at least 3 times to get a line of points.

Draw a dotted line and shade the area above the line.

graph{y > -2x+1 [-1.302, 3.698, -0.73, 1.77]}