Answer :
Answer:
[tex]y=\frac{1}{3}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 ordered pairs
(-9,-3) and (-12,-4)
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
For x=-9, y=-3 ----> [tex]k=\frac{-3}{-9}=\frac{1}{3}[/tex]
For x=-12, y=-4 ----> [tex]k=\frac{-4}{-12}=\frac{1}{3}[/tex]
so
The value of k is equal to [tex]\frac{1}{3}[/tex]
The linear equation is
[tex]y=\frac{1}{3}x[/tex]