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

1 Answer
Apr 16, 2017

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]}