Question

How do you graph `y>=-1/4x+3`?

Answer 1

You first graph `y=- 1/4 x+3` and then find where your "solution" space is.

Find some convenient `x`'s and determine the corresponding `y`'s
`x=-4->y=4->(-4,4)`
`x=0->y=3->(0,3)`
`x=8->y=1->(8,1)`
But any other `x`'s will do. Then connect these points by a straight line (two points would have been enough, but it's wise to have a third, just to check for mistakes: they should all line up).
graph{-0.25x+3 [-7.87, 12.13, -2.88, 7.12]}
Now everything above and including the line is part of the solution.