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 in the box.

Answer 1

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

Explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`y/x=k` or
`y=kx`

The value of the constant k is equal to the value of the slope m

In this problem we have the point
`(8,4)`

Find the value of k

`y/x=k`------> substitute the value of x and y

`4/8=k`

`k=(1)/(2)`

The equation is equal to

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