Find the slope of the line through the points (1,4) and (7,1).

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)

In this case, our points are (1,4) and (7,1). Plug in the values:

m = (1 - 4) / (7 - 1)
m = -3 / 6
m = -1/2

Therefore, the slope of the line passing through the points (1,4) and (7,1) is -1/2.