To determine whether Rachel is correct or incorrect about the slopes of graphs S and R, we need to compare the slopes of both graphs based on their given descriptions.
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If Graph S has a slope of 2 and Graph R has a slope of 0.5, then Rachel is correct. A slope of 2 is indeed steeper than a slope of 0.5.
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If both graphs go through the origin and have the same slope, then Rachel is incorrect because she cannot claim that one has a steeper slope than the other.
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If Graph S is non-proportional and Graph R is proportional, this might not directly indicate which is steeper, but typically, a graph that is non-proportional means it does not maintain a consistent slope throughout.
Given the options provided:
- If Graph S has a slope of 2 and Graph R has a slope of 0.5, the correct response is "Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5."
If you confirm the specific slopes or characteristics of the graphs, I can provide a definitive answer. However, based on the information above, if those slopes are accurate, Rachel is indeed correct.