Final answer:
The slope of the line passing through the points (5, -4) and (7, -4) is 0.
Step-by-step explanation:
The slope of a line passing through two points can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (5, -4) and (7, -4), we can substitute these values into the formula:
slope = (-4 - (-4)) / (7 - 5) = 0 / 2 = 0
Therefore, the slope of the line that passes through the given points is 0 (option A).