Question

What is a constant of proportionality in the equation 3y equals 2x?
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Answer 1

`k=(2)/(3)`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In this problem we have

`3y=2x`

Isolate the variable y

Divide by 3 both sides

`y=(2)/(3)x`

Remember that

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

The slope of the line m is

`m=(2)/(3)`

therefore

The constant of proportionality k is

`k=(2)/(3)`