Question

The graph of a proportional relationship contains the point (8,4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.

y= — x

Answer 1

Given:

The graph of a proportional relationship contains the point (8,4).

To find:

The corresponding equation.

Solution:

If y in directly proportional to x, then

`y\propto x`

`y=kx` ...(i)

Where, k is the constant of proportionality.

The graph of a proportional relationship contains the point (8,4).

Putting x=8 and y=4 in (i), we get

`4=k(8)`

`(4)/(8)=k`

`(1)/(2)=k`

Putting
`k=(1)/(2)` in (i), we get

`y=(1)/(2)x`

Therefore, the required equation is
`y=(1)/(2)x`.