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

First, you should graph $y = - 2 x + 6$
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 $y = - 2 x + 6$.
If that point satisfies the inequality $2 x + y \le 6$ then that part of the coordinate plane should be shaded. Else, the other part should be dashed.