Question

how do you graph the linear equality for 4x-5y less than or equal to 10

Answer 1

1st: Solve for "y":
5y <= 4x-10
y <= (4/5)x-2
-------------------
2nd: Graph the boundary of the inequality:

----------------------------
3rd: Check a test point that is not on the boundary
to see which side the solutions are on.



---
Check (0,0) in y < (4/5)x-2
0 < -2
--------
That is false so the "<" solution is the half-plane
that does not include (0,0)

Answer 2

Check this out too. It might help you.
http://www.wolframalpha.com/input/?i=4x+-+5y+%3C%3D+10