Which table represents a linear function?

x: 0, 2, 4, 6 | y: 0, 4, 16, 36

Does the table below represent a linear or nonlinear function? $x$: 1, 2, 3, 4 $y$: 5, 8, 13, 20

Linear, because the y-values are always increasing.

Linear, because the x-values increase by 1.

Nonlinear, because the rate of change is not constant.

Nonlinear, because the y-values are not consecutive.

The change in $y$, $\Delta y$, is the same between every consecutive pair of points.

The ratio of the change in $y$ to the change in $x$, $\frac{\Delta y}{\Delta x}$, is constant.

The $x$-values are consecutive integers, and the $y$-values are increasing.

The graph of the points forms a smooth curve.