-8/3x-y>=-9y+4

  -8/3x-y>=-9y+4=6y>=2x+3

-8/3x-y>=-9y+4     rearrange as

8y >= (8/3)x + 4      divide both sides by 8

y>= (1/3)x + (1/2)  

Here's the graph of this inequality :  https://www.desmos.com/calculator/ckh9w7myiu