Question 138571: Graph the inequality on a plane.
y > 4x
HELP please. Not sure how to do this this is new to me.
Answer by vleith(2983)   (Show Source):
You can put this solution on YOUR website! To graph inequalities, you first need to know the plot the equality.
When you get ready to plot the equality, you need to decide if the drawing is made with a solid line or a dashed line. If the given equation contains an equal sign (=, >= or <=) then the drawing you make includes a solid line. In this case, the given equation does not include an = ign, so when we get ready to draw, we will use a dashed line.
Now let's find what that drawing should be.
Given : 
find  I'll assume you know how to plot a line by using a table or knowing slope/intercept. Let's use a table, just in case you don;t know slope intercept.
x=0, yields y=0
x=1, yields y=4 we now have enough information to draw our line.
1)Plot the points (0,0) and (1,4).
2)Draw in the dashed line that includes those two points. Make sure to draw a line, not just the segment (the little piece) between the points.
So now we have a dashed line rising left to right that cuts the plane into two halves.
3)Look at the original inequality to decide which side of the line applies. In our problem, y is "greater than". So any y that lies 'above' the dashed line is a solution to the given inequality.
This site does not have a nice way to graph inequalities. But if you look at the line below, make it dashed and then crosshatch the area above the line, you will have your graph.
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