find coordinates of vertices formed by x+yless than or equal to 2
x-2y less than or equal to 8 and x+(-1/3y) greater or equal to -2/3
hmm. let's see what we have, in more standard notation:
x+y <= 2
x-2y <= 8
x - y/3 >= -2/3
You have a small triangular region where the vertices are the intersections of the lines.
Go to wolframalpha.com and enter
plot x+y <= 2, x-2y <= 8, x - y/3 >= -2/3