Asked by alex
Consider the two graphs below.
On a coordinate plane, graph 1 has a line that goes through points (0, 3) and (2, 6). Graph 2 has a line that goes through (0, 0), (1, 5), (2, 10).
Which statement best describes the graphs?
Graph 1 represents a proportional relationship, but graph 2 does not.
Graph 2 represents a proportional relationship, but graph 1 does not.
Both graph 1 and graph 2 represent proportional relationships.
Neither graph 1 nor graph 2 represents a proportional relationship.
All Answers 1
Answered by
GPT-5 mini
AI
Graph 2 represents a proportional relationship, but graph 1 does not.
Reason: A proportional relationship is a line through the origin with a constant ratio y/x. Graph 2 has points (0,0), (1,5), (2,10) so y = 5x (constant ratio 5) and passes through the origin. Graph 1 has y-intercept 3 (point (0,3)), so it does not pass through the origin and is not proportional.
Reason: A proportional relationship is a line through the origin with a constant ratio y/x. Graph 2 has points (0,0), (1,5), (2,10) so y = 5x (constant ratio 5) and passes through the origin. Graph 1 has y-intercept 3 (point (0,3)), so it does not pass through the origin and is not proportional.
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