Question

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

Answer 1

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.