Answer :

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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]

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