To determine if the points (0, 4) and (0, -1) represent a linear function, we can look at the values of \(x\) and \(y\).
First, let's identify the coordinates:
- The first point is \((0, 4)\)
- The second point is \((0, -1)\)
Notice that both points have the same \(x\)-value (which is \(0\)). This implies that they are vertical. A vertical line does not represent a linear function since it does not pass the vertical line test (i.e., for every \(x\), there must be only one \(y\) value).
Therefore, this table does not represent a linear function.
Since it is not a linear function, there is no slope to be determined.