Question

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

Answer 1

See below

Explanation:

First, treat it like an equation:

`y=3x-1`

This is in the form `y=mx+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]}