Answer:
The given equation not represent a proportional relationship
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]y/x=k[/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
[tex]y=\frac{2}{5}x-4[/tex]
This line not passes through the origin
Verify
For x=0
[tex]y=\frac{2}{5}(0)-4=-4[/tex]
therefore
The given equation not represent a proportional relationship
