# How do you graph x-2y>= 4?

Apr 21, 2015

$x - 2 y \ge 4$

Solve for y.

Subtract x from both sides.

$- 2 y \ge - x - 4$

Multiply both sides by -2.

$y \le \frac{x}{2} + 2$

Determine two points on the line.

If $x = 0 , y = \frac{0}{2} + 2 = 0 + 2 = 2$ Point=$\left(0 , 2\right)$
If $x = 4 , y = \frac{4}{2} + 2 = 2 + 2 = 4$ Point=$\left(4 , 4\right)$

Plot the points and draw a straight line through the points. Then shade in the area below the line.
graph{y<=x/2+2 [-10, 10, -5, 5]}