Question

Determine whether the equation represents a direct variation. If it does, find the constant of variation. -12x=6y

Answer 1

Answer:

The equation observes direct proportionality.

Step-by-step explanation:

The condition of direct proportionality follows to this expression:

$y = k \cdot x$

Where k is the constant of proportionality.

It is easy to conclude that equation observes the criterion of direct proportionality after some algebraic handling:

$-12\cdot x = 6\cdot y$

$y = -2\cdot x$

The constant of the proportionality is -2.

Answer 2

For direct variation  we need y  = Kx  ( where K is constant )

Direct variation :-  Two variable in  relationship when they are constant multiple with each other.{ one element proportional to other like r is direct proportional to Y

r  = K(y) k is constant

we have given equation  :-     -12 x = 6y

                                                  y    =  -12 x /6

                                                   y =  -2x

this is in the form of y = kx     (   constant of variation K =  -2 )