Based on your description of the line graph, the most accurate interpretation of the given statements is:
There is a positive relationship between the number of points scored on the quiz and the number of hours spent playing video games.
Here's why the other statements are incorrect:
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The point (10,5) shows that the student earned 10 points on the quiz after playing video games for five hours.
- This is inaccurate because (10,5) actually means the student scored 5 points on the quiz after spending 10 hours playing games.
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The student’s quiz score goes down by one point for every two hours she spent on video games.
- This statement would be false if the graph shows a positive trend; it implies that increased gaming correlates with decreased quiz scores.
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The student will earn four points on the quiz if she plays eight hours of video games.
- This statement's accuracy depends on the specific value represented on the graph at the 8-hour mark, which we do not have access to.
Therefore, the correct response about the graphs is focused on the positive relationship indicated.