Respuesta :

Equation for direct proportional function is

y = kx, where k is a constant of proportionality

so for   y=5/9 x

k=5/9.

Answer:

The constant of proportionality of the equation [tex]y = \frac{5x}{9}[/tex] is [tex]k= \frac{5}{9}[/tex] .

Step-by-step explanation:

Definition of constant of proportionality

Let us assume that x and y are two variables .

[tex]y \propto x[/tex]

y = kx

Where k is the constant of proportionality .

As given the equation

[tex]y = \frac{5x}{9}[/tex]

Compare this equation with y =kx .

Thus

[tex]k= \frac{5}{9}[/tex]

Therefore the constant of proportionality of the equation [tex]y = \frac{5x}{9}[/tex] is [tex]k= \frac{5}{9}[/tex] .