How do you graph 2x+y <=6?

1 Answer
Apr 1, 2015

graph{2x+y<=6 [-10, 10, -5, 5]}

First, you should graph y=-2x+6

Since the inequality sign includes the equality, the graph should be a solid line, not a dashed line. If it was < or > then the line should have been dashed.

Then, select a random point on the coordinate plane which is not the line y=-2x+6.

If that point satisfies the inequality 2x+y<=6 then that part of the coordinate plane should be shaded. Else, the other part should be dashed.