Answer: The second option and the third option are true.
Step-by-step explanation:
The formula of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
By definition, the y-intercept in a direct variation is 0.
Therefore, substituting [tex]m=-3[/tex] and [tex]b=0[/tex] into the equation, you obtain:
[tex]y=-3x+0[/tex]
Then, the equation is:
[tex]y=-3x[/tex]
As this is a line, it is a linear function.
Therefore, the second option and the third option are true.