Respuesta :

irspow
direct variation is of the form y=kx, so y/x should be a constant, k...

-8/-2=-16/-4=-24/-6=k=4 so y=kx is:

y=4x

Answer:

K = 4 and y = 4x

Step-by-step explanation:

we have to find the constant of variation for the table in which y varies directly with x

y ∝ x

y = Kx

Where K is constant of variation.

K = [tex]\frac{y}{x}[/tex]

1.  For x = -2 and y = -8

                           K = [tex]\frac{-8}{-2}[/tex] = 4

2.  For x = -4 and y = -16

             K = [tex]\frac{-16}{-4}[/tex] = 4

3.  For x = -6 and y = -24

             K = [tex]\frac{-24}{-6}[/tex] = 4

Therefore, K = 4 and y = 4x will be the equation.

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