6y = -12x
Part 1: Determine whether the equation represents a direct variation.
(1 point)
Responses
No, it is not a direct varation
No, it is not a direct varation
Not possible to know.
Not possible to know.
Yes, it is a direct variation
Yes, it is a direct variation.
Part 2: If it does, find the constant of variation(1 point)
Responses
Constant of variation is −1/2
Not a direct variation
Constant of variation is 1/2
Constant of variation is -2
Constant of variation is 2
Constant of variation is -2
To determine whether an equation represents a direct variation, we need to check if it can be rewritten in the form y = kx, where k is a constant. In the given equation, 6y = -12x, we should isolate y on one side of the equation.
Dividing both sides of the equation by 6, we get:
y = -2x
Now we can see that the equation is in the form y = kx, where k = -2. Since the equation can be written as a direct variation, the answer is:
Yes, it is a direct variation.