The answer is: No, because we also need to know the type of proportionality
In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.
1. Direct Proportionality:
If there are two variables x and y, we can write the relationship between them as follows:
[tex]y=kx[/tex]
So, by substituting the point in this equation we have that the constant of proportionality is:
[tex]4=k(3) \\ \\ \therefore \boxed{k=\frac{4}{3}}[/tex]
2. Inverse Proportionality:
In this case, the relationship is:
[tex] y=\frac{k}{x} [/tex]
So, the constant of proportionality is:
[tex] 4=\frac{k}{3} \\ \\ \therefore \boxed{k=12} [/tex]
As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.
