Question

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.

Answer 1

Answer: The second option and the third option are true.

Explanation:

The formula of the line in slope-intercept form is:

`y=mx+b`

Where m is the slope and b is the y-intercept.

By definition, the y-intercept in a direct variation is 0.

Therefore, substituting
`m=-3` and
`b=0` into the equation, you obtain:

`y=-3x+0`

Then, the equation is:

`y=-3x`

As this is a line, it is a linear function.

Therefore, the second option and the third option are true.