graph the following inequality : 2x + y > 6

Question

I am on sails Tennessee 9.4 homework, and don't know how to work this problem. The information that is given isn't helpful enough. 

Answer 1

Consider if this were the line 2x + y = 6

 

Solving for y gives us

 

y = -2x + 6 (this is in the form y = mx + b, where m = slope and b = y-intecept)

 

This is a line with slope -2 and y-intercept 6

 

Choose some points at random to sketch the graph of this line. Because this is an inequality, the line should be dotted. 

 

2x + y > 6

 

y > -2x + 6

 

Since this is a "greater than" inequality, everything above the dotted line y = -2x + 6 should be shaded