Final answer:
The slope of the line passing through the points (2, 5) and (0, -4) is found using the slope formula and is 4.5, corresponding to option B.
Step-by-step explanation:
The slope of a line passing through two points can be found using the formula m = (y2 - y1) / (x2 - x1), where m represents the slope and (x1, y1) & (x2, y2) are the coordinates of the two points. Applying this to the given points (2, 5) and (0, -4), we calculate the slope as follows:
m = (-4 - 5) / (0 - 2) = -9 / -2 = 4.5
This matches option B, so the slope of the line passing through the points (2, 5) and (0, -4) is 4.5.