# How do you graph the inequality y>=3x-1?

Apr 16, 2017

See below

#### Explanation:

First, treat it like an equation:

$y = 3 x - 1$

This is in the form $y = m x + b$. $m$ is the slope and $b$ is the y-intercept. In this case, the slope is $3$ and the y-intercept is $- 1$. That means it'll start at $- 1$ and for every increase in $x$, $y$ will increase by $3$ and for every decrease in $x$, $y$ will decrease by $3$.

This is what 3x-1 looks like:

graph{y=3x-1 [-10, 10, -5, 5]}

Now we want the part of the graph that is greater than that. That means we shade above it. This would be your final graph:

graph{y>=3x-1 [-10, 10, -5, 5]}