Question

the graph of a proportional relationship contains the point 8 and 4 what is the corresponding equation enter your answer as a fraction in simplest form in the box

Answer 1

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

Explanation:

We have been given that the graph of a proportional relationship contains the point 8 and 4.

Since we know that a proportional equation is in form:
`y=kx`, where k is constant of proportionality.

Let us substitute x=8 and y=4 in proportional equation to find constant of proportionality for our equation.

`4=k*8`

Upon dividing both sides of equation by 8 we will get,

`(4)/(8)=(k*8)/(8)`

`(4)/(8)=k`

`(1)/(2)=k`

Let us substitute k=1/2 in proportional equation.

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

Therefore, our desired equation will be
`y=(1)/(2)x`.