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Find the inequality represented by the graph.

Find the inequality represented by the graph.-example-1
User Ron Tang
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1 Answer

10 votes

Answer:

y > 1/3 x - 3

Explanation:

First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).

Find the change of y over the change of x to get the slope of the line.

(-2 - (-3))/(3 - 0) = 1/3

Since the line intercepts the y axis at (0, -3), the equation of the line would be

y = 1/3x - 3

We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents

y > 1/3 x - 3

User Mugiwara
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