does this table represent a linear function if so state so and state the slope

x:0,0
y:4,-1

1 answer

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.