# How do you graph -2x+3y>9?

Nov 23, 2016

Graph $- 2 x + 3 y > 9$

Convert the inequality to slope-intercept form, by solving for $y$.

Add $2 x$ to both sides.

$3 y > 2 x + 9$

Divide both sides by $3$.

$y > \frac{2}{3} x + \frac{9}{3}$

Simplify.

$y > \frac{2}{3} x + 3$

Determine two points on the line.

$x = 0 :$ $y = 3$

$y = 0 :$ $x = - \frac{9}{2}$

Plot the points.

Draw a dashed straight line to indicate that the line is not part of the inequality.

Shade in the area above the line.

graph{y>2/3x+3 [-10, 10, -5, 5]}