Question

A line passing through which of the following pairs of coordinates represents a proportional relationship?

Answer 1

(1.25,2.5) and (3.75,7.5)

Whenever there is a proportional relationship, the y values are always double of the x values in order to make a straight line on a graph.

Answer 2

Answer:

the answer is (1.25, 2.5) and (3.75, 7.5)

Step-by-step explanation:

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.