# How do you graph 3x - y < 4?

##### 1 Answer
Apr 10, 2015

First solve for y.

$3 x - y < 4$ =

Subtract 3x from both sides.

$- y < - 3 x + 4$ =

Divide both sides by -1.

$- \frac{y}{-} 1 < - 3 \frac{x}{-} 1 + \frac{4}{-} 1$ =

$y > 3 x - 4$ (When dividing by a negative, the inequality symbol flips to its opposite.)

In order to graph this inequality, determine two points as if $y = 3 x - 4$.

If $x = 0$: $y = 3 \cdot 0 - 4 = - 4$ Point A = $\left(0 , - 4\right)$

If $x = 2$: $y = 3 \cdot 2 - 4 = 6 - 4 = 2$ Point B = $\left(2 , 2\right)$

Graph those points, connecting them with a dashed line to denote that the graph is an inequality. Then shade in the area above the dashed line to show that y is greater than the points on the line.

graph{3x-y<4 [-15.79, 7.74, -6.36, 5.4]}