# How do you graph the inequality 5x + y <7?

Apr 25, 2016

Let's first solve for y, to convert to slope intercept form, $y = m x + b$

#### Explanation:

$y < 7 - 5 x$

Now, let's graph the line (the equation you'll use is $y = - 5 x + 7$)

We know the y intercept of this line is 7 and the slope is -5.

graph{y = -5x + 7 [-10, 10, -5, 5]}

Since the smaller side $\left(x <\right)$, is the y, you will shade everything under the y intercept and to the left of the line. Following these instructions, we get the following:

graph{y < -5x + 7 [-10, 10, -5, 5]}