Answer:
[tex]k=\frac{5}{4}[/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 that
The line pass through the points
[tex](0,0)\ and\ (\frac{2}{5},\frac{1}{2})[/tex]
Find the value of the constant of proportionality k
For x=2/5, y=1/2
substitute
[tex]k=\frac{y}{x}[/tex]
[tex]k=\frac{1}{2}:\frac{2}{5}=\frac{5}{4}[/tex]
