What is the constant of proportionality of y to x?

2.5

Step-by-step explanation:

We are given a graph with a positive slope where the value of y increases when the value of x increases.

For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.

We know the formula of the slope =

Substituting the given values in the formula:

k=2.5

Step-by-step explanation:

1. As you can see in the graph, when x increases, y also increases at the same rate, therefore, it is a direct proportion that has the following form

2. Choose one of the points shown in the graph, substitute it into the expression and solve for k, which is the constant of proportionality, as following:

9 x 8 divided by (5-3)=36