Determine whether the equation represents a direct variation. If it does, find the constant of variation. 0.7x-1.4y=0 (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
To determine if the equation represents a direct variation, we need to rearrange it into the form y = kx, where k is the constant of variation.
0.7x - 1.4y = 0
First, let's isolate the y-term:
-1.4y = -0.7x
Now, divide both sides by -1.4 to solve for y:
y = (-0.7/-1.4)x
Simplifying, we get:
y = 0.5x
The equation is in the form y = kx, where k = 0.5. This is a direct variation with a constant of variation equal to 0.5.