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

Respuesta :

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 )

Answer:

The equation observes direct proportionality.

Step-by-step explanation:

The condition of direct proportionality follows to this expression:

[tex]y = k \cdot x[/tex]

Where k is the constant of proportionality.

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

[tex]-12\cdot x = 6\cdot y[/tex]

[tex]y = -2\cdot x[/tex]

The constant of the proportionality is -2.

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