Determine whether the equation represents a direct variation. If it does, find the constant of variation. -12x=6y (1 point) Responses Not a direct variation Not a direct variation Direct variation, constant of variation is Direct variation, constant of variation is Image with alt text: one-half Direct variation, constant of variation is 2 Direct variation, constant of variation is 2 Direct variation, constant of variation is
Not a direct variation
wrong
Sorry for the mistake.
The equation -12x = 6y represents a direct variation.
To find the constant of variation, we need to divide both sides of the equation by the variable that is not multiplied by a constant. In this case, we divide both sides by 6 to isolate y:
-12x/6 = 6y/6
-2x = y
So the constant of variation is 2.
To determine if the equation represents a direct variation, we need to check if it is in the form y = kx, where k is the constant of variation.
Given equation: -12x = 6y
To convert it to the form y = kx, we need to isolate y.
Divide both sides of the equation by 6:
-12x/6 = 6y/6
Simplify:
-2x = y
Now that we have the equation in the form y = kx, we can conclude that it represents a direct variation. The constant of variation is the coefficient of x, which is -2. Therefore, the constant of variation for the equation -12x = 6y is -2.