Answer :
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]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]point (20,4)[/tex]
Substitute the values and solve for k
[tex]k=y/x[/tex]
[tex]k=\frac{4}{20} =\frac{1}{5}[/tex]
therefore
the equation of the line is equal to
[tex]y=\frac{1}{5}x[/tex]
Answer:
[tex]y = \frac{1}{5}x[/tex]
Step-by-step explanation:
Direct proportionality states:
if [tex]y \propto x[/tex]
then, the equation is in the form of:
[tex]y = kx[/tex] ......[1] where, k is the constant of proportionality.
As per the statement:
The graph of a proportional relationship contains the point (20, 4).
Substitute these point in [1] we have;
[tex]4 = 20x[/tex]
Divide both sides by 20 we have;
[tex]\frac{1}{5} = k[/tex]
or
[tex]k=\frac{1}{5}[/tex]
Therefore, the corresponding equation is:
[tex]y = \frac{1}{5}x[/tex]