1. which equation shows a non-proportional relationship?

Ответ:

stace49

14.01.2022

Option D. y=2x+2

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 $k=\frac{y}{x}$ 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

0,0(0 оценок)