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

Answer 1

Answer:

The point $(2, -6)$ is on the graph of the function.

The equation is $y=-3x$

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 $y/x=k$ or $y=kx$

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

$k=-3$

the equation is equal to

$y=-3x$

therefore

statements

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

The statement is false

case B) The point $(2, -6)$ 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

$-6=-3(2)$

$-6=-6$  ------> is true

case C) The equation is $y=-3x$

The statement is true

case D) The function is linear.

The statement is true

The equation represent a linear direct variation