# How do you graph the inequality #6x+3y>12#?

##### 1 Answer

Let's isolate

Now we have the information we need to graph this:

This looks an awful lot like slope-intercept form, where

In our case, we have

This tells us that our graph has a slope of

graph{y = -2x+4}

Now, we need to figure out if the graph shows a dashed or solid line. This is pretty simple: does the inequality sign *include a value*

So in our case, our graph will have a dashed line because it has the

The question is, which side of the graph do we include? There are a few ways to check, but I like a simple method: pick two points, one from each side of the graph. **THESE POINTS CANNOT BE ON THE GRAPH** Whichever one makes the statement true is correct

Let's pick *No need to make the math hard :)*

*is this true? is #0# larger than #4#? No it is not, so the inequality isn't on this side*

*is this true? is #2# larger than #0#? Yes it is, so the inequality*

**is**

*on this side*

*This graph was obtained form https://www.desmos.com/calculator/sqb3smcrdv*