# How do you graph x-6y+3>0?

Apr 27, 2017

Everything below the line $y = \setminus \frac{x}{6} + \setminus \frac{1}{2}$, excluding the line.

#### Explanation:

To make this easier, make the inequality a function of y. First, add $6 y$ to both sides and simplify.
$6 y < x + 3$
$y < \setminus \frac{x + 3}{6}$

Plotting the function gives you the following graph
graph{(x+3)/6 [-10, 10, -5, 5]}
Since the inequality states that y is less than the value of the functions, we shade in everything below the line and make it a dashed line.