How do you graph the inequality #y> x + 9#?

1 Answer
Mar 28, 2018

See below

Explanation:

First, graph it as a regular line, #y=x+9#. Then, in order to find out which side you should shade, you should plug in a point. Let's use #(0,0)# to make things easier.
Plugging in these coordinates for #y# and #x# back into the original inequality would yield the equation #0>0+9 = 0>9#. This is clearly not true, so you would shade the side that does NOT include #(0,0)#. graph{y>x+9 [-12.5, 7.5, -3.36, 6.64]}