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melamori03 [73]
3 years ago
8

What is the inequality?

Mathematics
2 answers:
goldenfox [79]3 years ago
5 0
Y < 0.25x + 4






Hope this helps :))




vlabodo [156]3 years ago
4 0

Answer:

y < 0.25x + 4

Step-by-step explanation:

The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.

We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.

Solving for the line:

Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using \frac{y_2-y_1}{x_2-x_1} results in \frac{1}{4} or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.

Now all we do is replace the = with the < and we have our answer:

y < 0.25x + 4

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