Sara graphs a line passing through points that represent a proportional relationship. Which set of points could be on the line that Sara graphs? Responses A (2, 4), (0, 2), (3, 9)(2, 4), (0, 2), (3, 9) B (6, 8), (0, 0), (18, 24)(6, 8), (0, 0), (18, 24) C (3, 6), (4, 8), (9, 4)(3, 6), (4, 8), (9, 4) D (1, 1), (2, 1), (3, 3)
The correct answer is C (3, 6), (4, 8), (9, 4).
In a proportional relationship, the ratio between the x-values and y-values is always constant. For example, in the points (3, 6), (4, 8), (9, 4), the ratio of x to y in each point is 3/6 = 1/2, 4/8 = 1/2, and 9/4 = 2. Therefore, these points represent a proportional relationship and could be on the line that Sara graphs.