# How do you graph the inequality 2x+3y<=12?

It's all the space under the straight line $y = - \frac{2}{3} x + 4$
you can write the inequality as $3 y \le 12 - 2 x \rightarrow y \le - \frac{2}{3} x + 4$. Now you are looking for the y values that are under the line $y = - \frac{2}{3} x + 4$