Determine if the equations below are proportional or nonproportional.

y=2/3x + 4

y=1/2x

2x + 3y=7

y=1/2x

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 1) we have

y=2/3x + 4

This line not passes though the origin (because for x=0 the value of y is not zero)

therefore

The equation is non proportional

case 2) we have

y=(1/2)x

This line passes though the origin (because for x=0 the value of y=0)

therefore

The equation is proportional

case 3) we have

2x + 3y=7

This line not passes though the origin (because for x=0 the value of y is not zero)

therefore

The equation is non proportional

there are no short passages to look at