HOW TO GRAPH x + 2y ≥ -6

 The graph is attached (See explanation).

Step-by-step explanation:

The Slope-Intercept form of the equation of the line is:

Where "m" is the slope and "b" is the y-intercept.

Given inequality:

You need to solve for "y":

You can identify that the line is:

Which slope and y-intercept are:

To find the x-intercept, substitute into the equation and solve for "x":

Then, you know that the line passes through the points (0,-3) and (-6,0), so you can graph it.

The symbol indicates that the line is solid and you must shade the region above the line.

So, you get the graph attached.