SOLUTION: graph y>3x-4

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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