# How do you graph the inequality 4x+y> -4?

See below:

#### Explanation:

First let's find the equation of the line we'll be using, then we can deal with the inequality.

$4 x + y = - 4$

Let's put this into slope intercept form:

$y = - 4 x - 4$

The graph of that line looks like this:

graph{-4x-4}

Now to determine what side to shade. I like to do this by seeing if the origin, $\left(0 , 0\right)$, is part of the solution:

$4 x + y > - 4$

4(0)+0> -4=>0> -4 color(white)(000)color(green)root

So we'll shade the origin side (because it made our statement true):

graph{y+4x+4>0}

Notice our line in this graph is dotted - it indicates that the points on the graph are not part of the solution.