Using the points shown in the graph, identify the constant of proportionality for this graph.

1 answer

To determine the constant of proportionality for this graph, we need to look at the relationship between the x-values and the corresponding y-values.

In a proportional relationship, the ratio of the y-values to the x-values should be a constant value. Let's calculate the ratio for each point:

Point A: (1, 2) --> ratio = 2/1 = 2
Point B: (2, 4) --> ratio = 4/2 = 2
Point C: (3, 6) --> ratio = 6/3 = 2

As we can see, the ratio of the y-values to the x-values is consistently equal to 2 for all the points. Therefore, the constant of proportionality for this graph is 2.