Question

What is the constant of proportionality in the equation 9y = 45x?

Answer 1

We have been given an equation
`9y=45x` and we are asked to find the constant of proportionality of this equation.

In order to find constant of proportionality we will use proportionality constant formula
`y=kx` , where k is proportionality constant.

Now let us try to write our given equation in this form,

`9y=45x`

Now let us divide both sides of our equation by 9

`(9y)/(9)=(45x)/(9)`

After dividing both sides of our equation by 9 we will get

`y=5x`

Upon comparing our equation with
`y=kx` we get proportionality constant as 5.

Answer 2

Divide by the coefficient of y.
y = (45/9)x
y = 5x

The constant of proportionality is 5.