Final answer:
The slope of the line passing through the points (5,1) and (-4,3) is -2/9.
Step-by-step explanation:
The slope of a line passing through two points can be determined using the formula:
Slope = (y2 - y1) / (x2 - x1)
Using the given points (5,1) and (-4,3), we can substitute the values into the formula:
Slope = (3 - 1) / (-4 - 5) = -2/9
Therefore, the correct slope of the line passing through the points (5,1) and (-4,3) is -2/9 (Option D).