Final answer:
The slope of the line passing through the points (2, 3) and (2, -4) is undefined. Hence the correct answer is option D
Step-by-step explanation:
The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the two points are (2, 3) and (2, -4), so the slope is calculated as follows:
Slope = (y2 - y1) / (x2 - x1)
Slope = (-4 - 3) / (2 - 2)
Slope = -7 / 0
Since division by zero is undefined, the slope of the line passing through these two points is undefined.
Hence the correct answer is option D