Answer:
[tex]k=0.625[/tex]
[tex]y=0.625x[/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
Looking at the graph
take the point (4,2,5)
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
For x=4, y=2.5
substitute the value of x and the value of y
[tex]k=\frac{2.5}{4}=0.625[/tex]
The linear equation is
[tex]y=0.625x[/tex]
