Answer:
[tex]k=\dfrac{5}{9}[/tex]
Step-by-step explanation:
The given equation is :
[tex]y=\dfrac{5}{9}x[/tex] ...(1)
We need to find the constant of proportionality in the equation.
In this equation, y is directly proportional to x i.e.
y ∝ x
or
y = kx ...(2)
k is constant of proportionality
If we compare equation (1) and (2), we find that,
[tex]k=\dfrac{5}{9}[/tex]
So, the constant of proportionality is equal to [tex]\dfrac{5}{9}[/tex].