Answer:
2/3. (im not exactly sure sorrry!!)
Explanation:
The constant of proportionality in the equation y = (2/3)x is the number that relates the values of y and x. In this equation, the constant of proportionality is 2/3.
To understand this concept better, let's consider an example. Let's say we have a table of values where x is the independent variable and y is the dependent variable. If we plug in different values of x into the equation y = (2/3)x, we can find the corresponding values of y.
For instance, if we choose x = 3, we can calculate y by substituting x into the equation:
y = (2/3)(3)
y = 2
So, when x = 3, y = 2.
Similarly, if we choose x = 6, we can calculate y:
y = (2/3)(6)
y = 4
So, when x = 6, y = 4.
As you can see, the constant of proportionality, 2/3, determines the relationship between the values of x and y. In this case, for every increase of 1 in x, y increases by 2/3.