Question

What is the constant of proportionality in the equation y = 5/9x?

Answer 1

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 2

The constant of proportionality of the equation
`y = (5x)/(9)` is
`k= (5)/(9)` .

Explanation:

Definition of constant of proportionality

Let us assume that x and y are two variables .

`y \propto x`

y = kx

Where k is the constant of proportionality .

As given the equation

`y = (5x)/(9)`

Compare this equation with y =kx .

Thus

`k= (5)/(9)`

Therefore the constant of proportionality of the equation
`y = (5x)/(9)` is
`k= (5)/(9)` .