Determine whether the equation represents a direct variation. If it does, find the constant of variation.
negative 12x equals 6y
(1 point)
Responses
Not a direct variation
Not a direct variation
Direct variation, constant of variation is one-half
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 negative 2Determine whether the equation represents a direct variation. If it does, find the constant of variation.
negative 12x equals 6y
(1 point)
Responses
Not a direct variation
Not a direct variation
Direct variation, constant of variation is one-half
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 negative 2Determine whether the equation represents a direct variation. If it does, find the constant of variation.
negative 12x equals 6y
(1 point)
Responses
Not a direct variation
Not a direct variation
Direct variation, constant of variation is one-half
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 negative 2Determine whether the equation represents a direct variation. If it does, find the constant of variation.
negative 12x equals 6y
(1 point)
Responses
Not a direct variation
Not a direct variation
Direct variation, constant of variation is one-half
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 negative 2Determine whether the equation represents a direct variation. If it does, find the constant of variation.
negative 12x equals 6y
(1 point)
Responses
Not a direct variation
Not a direct variation
Direct variation, constant of variation is one-half
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 negative 2VVV
The equation represents a direct variation. The constant of variation is 2.
To determine whether the equation represents a direct variation, we can compare the terms on both sides of the equation.
The equation is written as: negative 12x = 6y
In a direct variation, the ratio between the two variables should remain constant. We can rearrange the equation in the form y = kx, where k is the constant of variation, to check if the equation meets this condition.
Rearranging the equation, we have: y = -12/6 * x
Simplifying the equation, we get: y = -2x
Since the ratio between y and x is -2, which is a constant value, the equation represents a direct variation.
Therefore, the constant of variation is -2.