As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.
Does the table represent a linear relation?
A table between two variables represents a linear relation if and only if every pair of values (x, y) have the same constant:
k = y/x (1)
Now we proceed to check the existence of the constant of variation:
k₁ = 8/(- 2) = - 4
k₂ = (- 16)/4 = - 4
k₃ = (- 36)/9 = - 4
As k₁ = k₂ = k₃, the table represents a linear relation whose constant of variation is - 4.
To learn more on linear relations: https://brainly.com/question/19586594
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