Final answer:
The slope of the line passing through the points (9, 2) and (9, 27) is undefined.
Step-by-step explanation:
The slope of a line can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (9, 2) and (9, 27), the x-coordinates are the same, so the denominator in the formula becomes 0, resulting in an undefined slope.
Therefore, the slope of the line passing through these points is undefined.