The slope of the line passing through the points (1, -9) and (4, -7) is calculated as 2/3, indicating a rise of 2 units for every 3 units of run.
The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1), where m represents the slope. Applying this formula to the given points (1, -9) and (4, -7), we get:
m = (-7 - (-9)) / (4 - 1) = (2) / (3) = 2/3.
Therefore, the slope of the line that passes through the points (1, -9) and (4, -7) is 2/3, which represents a rise of 2 units on the vertical axis for every increase of 3 units on the horizontal axis.