SOLUTION: How to Graph the inequality on a plane 5y-6x>30

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Question 408148: How to Graph the inequality on a plane
5y-6x>30
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Graphing the inequality on a plane

5y-6x > 30  OR y > (6/5)x + 6

I. graph the line y = (6/5)x + 6 |Use dotted line (cannot demonstrate that here)

 



Note: as y increases/decreases by 6, x increases/decreases by 5



II. Shade the area 'above' Your dotted Line due to the y > Inequality




 
Solved by pluggable solver: Plot Any Inequality


Graphing function y%3E%286%2F5%29x%2B6: 

  

  graph%28+300%2C+300%2C+-10%2C+10%2C+-8%2C+12%2C+y%3E%286%2F5%29x%2B6+%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First get it into the form y+%3E+f%28x%29 or y+%3C+f%28x%29
5y+-+6x+%3E30
Add 6x to both sides
5y+%3E+6x+%2B+30
Divide both sides by 5
y+%3E+%286%2F5%29%2Ax+%2B+6
Now, I'll plot this
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%286%2F5%29%2Ax+%2B+6%29+
The graph is all the points that are above this line, but
not including the line itself.
A good way to check is to pick a point that is below the
line and make sure that it does not satisfy the inequality.
Like (5,11)
11+%3E+%286%2F5%29%2A5+%2B+6
11+%3E+6+%2B+6
11+%3E12 not true
so, (5,11) is not part of the graph of the inequality