Determine whether the equation represents a direct variation. If it does, find the constant of variation.
0.7 x minus 1.4 y equals 0
(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 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 the equation 0.7x - 1.4y = 0, we can rearrange it to isolate y:
-1.4y = -0.7x
Divide both sides by -1.4 (to isolate y):
y = (-0.7/1.4)x
Simplifying further:
y = (-1/2)x
Since the equation is in the form y = kx, where k is -1/2, it represents a direct variation. The constant of variation is -1/2.