Aline passing through which of the following pairs of coordinates represents a proportional relationship?
a. (1, 3) and (3, 6)
b. (2, 5) and (4, 6)
c. (2, 4) and (5, 6)
d. (3, 6) and (4, 8)

Step-by-step explanation:

A proportion relation is defined as two variables that interact one to each other, directly. Basically its definition could be

This means that the set of points must have a constant proportion .

However, in this case we only have one pair of points. A specific characteristic of proportional relationship in this case is that such ratio is a whole number: ±1, ±2, ±3, ±4, ±5,... ±n.

In this case, the last pair of point fulfil this characteristic. We demonstrate that by finding the ratio, which is the slope of the linear relationship

Where is the first point and is the second point. Replacing these points, we have

So option D has a proportional relationship with a constant ratio of 2.

c is the final : )