Answer:
[tex]y=\frac{1}{5}x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have the point (20,4)
Find the value of the constant of proportionality k
For x=20, y=4
[tex]k=\frac{y}{x}[/tex]
substitute
[tex]k=\frac{4}{20}[/tex]
simplify
[tex]k=\frac{1}{5}[/tex]
The equation is equal to
[tex]y=\frac{1}{5}x[/tex]
