A line passing through which of the following pairs of coordinates represents a proportional relationship?
(2.5, 5) and (3, 5.5)
(1.25, 2.25) and (2.5, 5)
(1.3, 3.3) and (2.3, 4.3)
(1.25, 2.5) and (3.75, 7.5)

1. To be a proportional relationship, the ratio between the y-coordinates must be equal to the ratio of the x-coordinates. For example, for the first choice we have:

ratio for x coordinate: 3/2.5 =1.2

ratio for y coordinate: 5.5/5 =1.1

The ratios are not the same and consequently it is not a proportional relationship.

2. The correct answer is (1.25, 2.5) and (3.75, 7.5) because if we check the ratios for the coordinates we get

ratio for x coordinate: 3.75/1.25 = 3

ratio for y coordinate: 7.5/2.5 =3

In this case we can see the ratios are equal, hence we can state it is a proportional relationship.

A line passing through which of the following pairs of coordinates represents a proportional relationship? (2.5, 5) and (3, 5.5) (1.25, 2.25) and (2.5, 5) (1.3, 3.3) and (2.3, 4.3) (1.25, 2.5) and (3.75, 7.5)

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A line passing through which of the following pairs of coordinates represents a proportional relationship?
(2.5, 5) and (3, 5.5)
(1.25, 2.25) and (2.5, 5)
(1.3, 3.3) and (2.3, 4.3)
(1.25, 2.5) and (3.75, 7.5)