Select all that apply.
The slope of the graph of a direct variation function is -3. Which of the following is true?
The equation of the function is y = -1/3 x.
The equation is y = -3x.
The function is linear.

Respuesta :

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.