Question

1. Which equation shows a non-proportional

Answer 1

Answer:

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