SOLUTION: Help me graph this please. y > 1/3x + 1

Algebra.Com
Question 87014: Help me graph this please.
y > 1/3x + 1

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


In order to graph the inequality , we need to graph the equation (just replace the inequality sign with an equal sign).
So lets graph the line (note: if you need help with graphing, check out this solver)

graph of
Now lets pick a test point, say (0,0) (any point will work, but this point is the easiest to work with), and evaluate the inequality

Substitute (0,0) into the inequality
Plug in and
Simplify
Since this inequality is not true, we do not shade the entire region that contains (0,0). So this means we shade the region that is on the opposite side of the line
Graph of with the boundary (which is the line in red) and the shaded region (in green)

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