Question

Does this table represent a linear equation?

Answer 1

yes

Explanation:

To tell if a function is linear based on a table, look at the rates of change on the inputs and outputs.

The inputs (y) increase constantly by 1. They all have the same rate of change.

Next, look at the outputs (z). They all increase by 1. They all have the same rate of change.

Note that the inputs and outputs do not have to have the same rate of change as each other. In this problem, the inputs and outputs both happen to increase by 1. This does not always have to be the case.

Answer 2

yes. it is linear because it is constant.