Question

select the equations that show a proportional relationship between x and y. y = 4x y = 8x submit

Explanation:

Step1: Recall proportional relationship

A proportional relationship between \( x \) and \( y \) is of the form \( y = kx \), where \( k \) is a constant (the constant of proportionality), and the graph passes through the origin (\( x = 0, y = 0 \)).

Step2: Analyze \( y = 4x \)

For \( y = 4x \), it is in the form \( y = kx \) with \( k = 4 \). So, it shows a proportional relationship.

Step3: Analyze \( y = 8x \)

For \( y = 8x \), it is in the form \( y = kx \) with \( k = 8 \). So, it also shows a proportional relationship.

Answer:

The equations \( y = 4x \) and \( y = 8x \) show a proportional relationship between \( x \) and \( y \) (as they are in the form \( y = kx \) where \( k \) is a non - zero constant). So the selected options ( \( y = 4x \) and \( y = 8x \)) are correct.