Question

1. Which equation shows a non-proportional

relationship?
A y=-2x
By= 2X
x
Cy=2x+ 0
Dy=2x + 2

Answer 1

Option D.
`y=2x+2`

Explanation:

we know that

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

Verify each case

case A) we have

`y=-2x`

Is a equation of the form
`y=kx`

The value of k=-2

This equation represent a proportional relationship

case B) we have

`y=2x`

Is a equation of the form
`y=kx`

The value of k=2

This equation represent a proportional relationship

case C) we have

`y=-2x+0`

The line passes through the origin, because the y-intercept is b=0

This equation represent a proportional relationship

case D) we have

`y=2x+2`

The line not passes through the origin, because the y-intercept is not equal to zero (b=2)

This equation not represent a proportional relationship