Respuesta :
Answer:
[tex]y=\frac{1}{2}x[/tex]
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 [tex]y/x=k[/tex] or [tex]y=kx[/tex]
The value of the constant k is equal to the value of the slope m
In this problem we have the point [tex](8,4)[/tex]
Find the value of k
[tex]y/x=k[/tex]------> substitute the value of x and y
[tex]4/8=k[/tex]
[tex]k=\frac{1}{2}[/tex]
The equation is equal to
[tex]y=\frac{1}{2}x[/tex]