Final answer:
The slope of a line passing through points (9, 9) and (6, 5) is 4/3, calculated by dividing the change in y (rise) by the change in x (run).
Step-by-step explanation:
The slope of a line that passes through two points, (x1, y1) and (x2, y2), can be found using the formula m = (y2 - y1) / (x2 - x1). In this case, for the points (9, 9) and (6, 5), the slope can be calculated as follows:
- Find the difference in the y-values: 9 - 5 = 4
- Find the difference in the x-values: 9 - 6 = 3
- Divide the difference in y by the difference in x to find the slope: 4 / 3
Therefore, the slope of the line is 4/3, which is the rise over the run.