Answer:
Option C. [tex]y=(3/4)x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct 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
so
Find the value of the constant k
For the point (-8,-6)
[tex]k=y/x=(-6/-8)=3/4[/tex]
For the point (12,9)
[tex]k=y/x=(9/12)=3/4[/tex]
Note A single point was required to find the constant k (because the line passes through the origin)
The equation is equal to
[tex]y=(3/4)x[/tex]
