Question

Which equation represents a proportional relationship?

O y = 3x + 7
o y=1/4x
O 1/4x+y=10
o y=1/3x+1

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=(1)/(4)x`, is of the
`y=kx`, where,
`k=(1)/(4)`.

So, the equation
`y=(1)/(4)x` represents a proportional relationship.

Therefore, the correct option is B.