Does the equation -x+4y=-2 represent a direct variation. if so what is the constant variation

Yes it represents.

Variation tax = 0,25

Step-by-step explanation:

Direct variation is the name we gave to the rate of change of a first degree function.

A first degree generic function is:

y = f(x) = ax + b

Now observe the question's function:

- x + 4y = -2

4y = x - 2

y = 1/4x - 2/4

y = f(x) = 0,25x - 0,5

0,25 is our constant variation, because any number that x assume will be multiplied by 0,25.