Question

select the equations that show a proportional relationship between x and y. y = 2 y = 7x

Explanation:

A proportional relationship between $x$ and $y$ follows the form $y = kx$, where $k$ is a non-zero constant (the constant of proportionality).

• For $y=2$, this is a horizontal line; $y$ does not depend on $x$, so it is not proportional.
• For $y=7x$, it matches the form $y=kx$ with $k=7$, so it is proportional.

Answer:

Only $\boldsymbol{y = 7x}$ represents a proportional relationship between $x$ and $y$. The equation $y=2$ does not represent a proportional relationship.