Question

Which of the following tables represents a linear relationship that is also proportional?

x −1 0 1
y −3 −2 −1

x −2 0 2
y −3 0 3

x −2 0 2
y 0 2 3

x −2 0 2
y 2 4 6

Answer 1

The table that represents a linear relationship that is also proportional is:

x - 2 0 2

y - 0 2 4

This is because the ratio between y and x is constant, which is the definition of proportionality. In this case, the ratio is 0/(-2) = 2/0 = 4/2 = 0, which is undefined but still a constant. The other tables do not have a constant ratio between y and x.