Line N passes through the points (-1, 4) and (-1, -4), which have the same x-coordinate (-1) but different y-coordinates (4 and -4). This means that line N is a vertical line.
Vertical lines have an undefined slope because the change in x (Δx) is zero, which results in division by zero when calculating slope using the formula \( \text{slope} = \frac{\Delta y}{\Delta x} \).
Therefore, the correct statement is:
Line N is a vertical line with an undefined slope.