Find the slope of the line through the pair of points.

(5, -9) and (9, -4)

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

slope = (y2 - y1) / (x2 - x1)

Using the given points (5, -9) and (9, -4), we can substitute the values into the formula:

slope = (-4 - (-9)) / (9 - 5)
slope = 5 / 4

Therefore, the slope of the line passing through the points (5, -9) and (9, -4) is 5/4.