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.

Verified Answer :

the corresponding equation= 1/2

Answer:

\(y=\frac{1}{2}x\)

Step-by-step 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

\(4/8=k\)

\(k=\frac{1}{2}\)

The equation is equal to

\(y=\frac{1}{2}x\)