Question

Is 8x-2y=2 direct variation, inverse, or neither?

Answer 1

Neither, why... for it to be direct or inverse variation, the model has to fit either y=k/x or y=kx, it may not have a y-intercept at all if it is inverse variation and it must have a y-intercept of 0 for it to be direct variation.

Explanation:

`-2y=-8x+2`
`y=4x-1`
This equation does not fit the models of y=Kx or y=k/x therfore it is neither.

Some properties of Inverse variation
y=k/x
k=yx, the product of x and y is a constant
It does not have a y-intercept

Some properties of Direct variation
Passes through the origin
Proportional
y-int is always 0
y=kx
k=y/x, the quotient of y and x is a constant