# How do you graph 2x+3y>4 on the coordinate plane?

##### 1 Answer
Mar 31, 2018

Read explanation below

#### Explanation:

Move the $2 x$ to the other side to get $3 y > - 2 x + 4$. Then divide by 3 to get $y > - \frac{2}{3} x + \frac{4}{3}$. From here, graph the line $y = - \frac{2}{3} x + \frac{4}{3}$. Then shade in the area which satisfies the inequality (called a half-plane because its area is half of the area of the entire plane). Also, make the line a dotted line to show that it is not included.