#### Answer

Refer to the image below for the graph.

#### Work Step by Step

To graph the given inequality, do the following:
(1) Graph the boundary line $x-y=7$.
(refer to the attached image below for the graph)
(2) Choose a test point that is not on the boundary line. Substitute the x and y values of the test point into the inequality.
Let $(0,0)$ be the test point.
$x-y\ge 7
\\0-0\ge 7
\\0 \ge 7$
This statement is false therefore the solution to the inequality is the other half-plane on the other side of the boundary line. Shade that region to complete the graph.
(refer to the attached image in the answer part for the graph)