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 ( or direct 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
we have the point (6,-2)
so
Find the constant of proportionality k
[tex]k=\frac{-2}{6}[/tex]
Simplify
[tex]k=-\frac{1}{3}[/tex]
therefore
The equation of the direct variation is
[tex]y=-\frac{1}{3}x[/tex]