SOLUTION: hello. Could you please help me with a problem? i'm wondering what 2x-4y>-6 would look like on a graph, and if it would be shaded above the line or not. on the question that i

Question 5432: hello. Could you please help me with a problem?
i'm wondering what 2x-4y>-6 would look like on a graph, and if it would be shaded above the line or not.
on the question that i'm trying to answer, it gives me 4 of the same equations, and asks which one is graphed at the right. the graph that they show is at (-3,1 1/2), and shaded above the line with a straight line. all four of the equations that are given are the same except that the sign in the middle changes to something like <, or > , or those with lines underneath them. Sorry if this is confusing to you, but it is really confusing to me.
thanks for helping, or trying to help me.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
2x-4y>-6 needs to be re-written into the form y=mx+c, so

2x+6>4y... or re-written, 4y<2x+6
--> y
So, the straight line has a gradient of 1/2 and passes through the y-axis at 3/2.

The question wants to know where y is less than x/2+3/2. By intuition, the line tells you the points where y EQUALS x/2+3/2, and so (hopefully, you can see that all the space below the line is where y is less than the line...so this is the region you require.

Jon.

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