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Question 322784: graph y>3x-4
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! First, we start off by graphing the line 
Looking at we can see that the equation is in slope-intercept form  where the slope is  and the y-intercept is 
Since this tells us that the y-intercept is ) .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is  , this means:
which shows us that the rise is 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1
So starting at , go up 3 units
and to the right 1 unit to get to the next point )
Now draw a line through these points to graph
 So this is the graph of through the points and
Now because the inequality sign is a greater than sign " > ", this means that the line is going to be a dashed line (but I can't show that here).
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Now let's select a test point, say (0,0). So plug in x=0 and y=0 into  to get  and then simplify that to get 
Since is true, this means that we shade the entire region that contains (0,0) like this:
So the graph of is the one shown above. Note: the shaded area represents the green lines and that entire area should be green.
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