1. which equation shows a non-proportional
relationship?
a y=-2x
by= 2x
x
cy=2x+ 0
dy=2x + 2

Option D.

Step-by-step explanation:

we know that

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

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

Is a equation of the form

The value of k=-2

This equation represent a proportional relationship

case B) we have

Is a equation of the form

The value of k=2

This equation represent a proportional relationship

case C) we have

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

This equation represent a proportional relationship

case D) we have

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

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

jwjwkwkwkkkdjebd b jdjejdndj he jenej