Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

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.