Final answer:
The slope of the line through the points (1, -9) and (4, -7) is calculated by finding the change in y (rise) and the change in x (run), resulting in a slope of 2/3.
Step-by-step explanation:
The slope of a line passing through two points can be found using the slope formula, which is the rise over the run, or the change in y divided by the change in x. For the points (1, -9) and (4, -7), the slope m is calculated as: Thus, the slope m of the line is:
m = rise / run = 2 / 3
Therefore, the slope of the line that passes through the points (1, -9) and (4, -7) is 2/3.