Question

Which equation represents a proportional relationship?

Answer 1

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., $y=\dfrac{1}{4}x$, is of the $y=kx$, where, $k=\dfrac{1}{4}$.

So, the equation $y=\dfrac{1}{4}x$ represents a proportional relationship.

Therefore, the correct option is B.