Which of the following did you include in your response? The points have the same \( x \)-coordinates. The line would be vertical. The line has no slope. The run \( =0 \), which would create an undefined fraction.

The statements you provided all relate to the characteristics of a vertical line in a coordinate system. Here's a breakdown of each statement: 1. **The points have the same \( x \)-coordinates.** - This means that for any two points on the line, the \( x \)-value is constant, indicating a vertical alignment. 2. **The line would be vertical.** - A line that is vertical runs straight up and down, which is consistent with having the same \( x \)-coordinates for all points on the line. 3. **The line has no slope.** - A vertical line does not have a defined slope because the change in \( y \) (rise) can be any value while the change in \( x \) (run) is zero. 4. **The run \( =0 \), which would create an undefined fraction.** - In the slope formula \( m = \frac{\Delta y}{\Delta x} \), if \( \Delta x = 0 \) (the run is zero), the slope becomes undefined, which is characteristic of vertical lines. All of these statements are correct and describe the properties of a vertical line in a coordinate plane.