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 = -x. the point (2, -6) is on the graph of the function. the equation is y = -3x. the function is linear.

The point is on the graph of the function.

The equation is

The function is linear.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

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

so in this problem

we have

the equation is equal to

therefore

statements

case A) The equation of the function is y = -x

The statement is false

case B) The point is on the graph of the function.

The statement is true

Because , the ordered pair satisfy the equation

so

For x=2, y=-6

substitute

 ------> is true

case C) The equation is

The statement is true

case D) The function is linear.

The statement is true

The equation represent a linear direct variation