Answer:
.
Step-by-step 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:
, 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](https://tex.z-dn.net/?f=4%3Dk%2A8)
Upon dividing both sides of equation by 8 we will get,
![\frac{4}{8}=\frac{k*8}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B8%7D%3D%5Cfrac%7Bk%2A8%7D%7B8%7D)
![\frac{4}{8}=k](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B8%7D%3Dk)
![\frac{1}{2}=k](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3Dk)
Let us substitute k=1/2 in proportional equation.
![y=\frac{1}{2}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx)
Therefore, our desired equation will be
.