Question

Which relationship between x and y in the equation shows a proportional relationship?

A. y = 4x + 2

B. y = 8x

C. y = x - 2

D. y = x/2 + 2

Answer 1

B.
`y=8x`

Explanation:

A proportional relationship in 'x' and 'y' is given as:

`y=kx`

Where, 'k' is called as the constant of proportionality.

So, the graph of a proportional relationship always crosses the origin.

This means that the 'x' and 'y' intercepts of a proportional relationship is always at the origin (0, 0).

From among all the options, the option that matches the definition of a proportional relationship is option B.
`y=8x`

Here,
`k=8`.

Therefore, the correct option is option B.