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

1 Answer
Apr 25, 2016

Let's first solve for y, to convert to slope intercept form, #y = mx + b#

Explanation:

#y < 7 - 5x#

Now, let's graph the line (the equation you'll use is #y = -5x + 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 #(x<)#, 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]}