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

Mar 31, 2015

You first graph $y = - \frac{1}{4} x + 3$ and then find where your "solution" space is.

Find some convenient $x$'s and determine the corresponding $y$'s
$x = - 4 \to y = 4 \to \left(- 4 , 4\right)$
$x = 0 \to y = 3 \to \left(0 , 3\right)$
$x = 8 \to y = 1 \to \left(8 , 1\right)$
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.