What is the equation of the line? Be sure to scroll down first to see all answer options. (-3,9) (0,0)

Answer:
Option D [tex]y=-3x[/tex]
Step-by-step explanation:
we have the points
(-3,9) and (0,0)
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 the line passes through the origin, then the line represent a direct variation
Find the constant of proportionality k
[tex]k=y/x[/tex]
For the point (-3,9)
[tex]k=9/-3=-3[/tex]
so
the equation is
[tex]y=-3x[/tex]