Question

Can someone help me with this question. I am really having problems with it.

Graph the inequality on a plane

2x+3y<=6

Answer 1

Solve the inequality in y<= mx+b form then graph the line with the slope m and the y intercept b, since y is less than or equal to this value you would have a solid line and your graph would be shaded below the line.

Answer 2

http://www.wolframalpha.com/input/?i=2x%2B3y%3C%3D6
have a look at this

Answer 3

Another option is to find two points that fit on the line, and draw the line between them. An easy one is to set \(x=0\), plug it into the equation, and find the corresponding y value.