Find the slope, if it exists, of the line containing the pair of points.

(1,9) and (4, -7)
The slope is __

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

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

Using the given points (1,9) and (4,-7), we can substitute the values into the formula:

M = (-7 - 9) / (4 - 1)
M = (-16) / 3

Therefore, the slope of the line passing through the points (1,9) and (4,-7) is -16/3.