Question

Determine if the equation

y = 2/5 x − 4
represents a proportional relationship. If so, determine the constant of proportionality.

Answer 1

The given equation not represent a proportional relationship

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 a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

`y=(2)/(5)x-4`

This line not passes through the origin

Verify

For x=0

`y=(2)/(5)(0)-4=-4`

therefore

The given equation not represent a proportional relationship