Graph the following inequality and then select the correct graph below. x - y - 2 ≥ 0

To be able to graph any equation, simply solve for y.

You should get y ≤ x - 2          
[the sign switched because you needed to divide by -1 in order to solve for y all the way]

Then use -2 as your y-intercept. This is the point that is at (0,y) on a graph. From the origin, just go down 2 points, and mark your point. 

X is the same as 1/1 x. This is your slope. From point -2, rise 1 point, then run 1 point to the right (because it is positive). From that position, mark another point. You now have enough to make a line, which gives you the completed look of the graph for this equation. 

It should look like this: