Final answer:
The slope of the line passing through the points (2, 13.5) and (6, 40.5) is 6.75.
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (2, 13.5) and (6, 40.5), we can calculate the slope:
slope = (40.5 - 13.5) / (6 - 2) = 27 / 4 = 6.75
Therefore, the slope of the line passing through the given points is 6.75.