Final answer:
The slope of the line passing through the points (-1, 7) and (4, -1) is calculated using the formula for slope and is found to be -8/5.
Step-by-step explanation:
The slope of a line passing through two points can be calculated by using the formula for slope, which is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points. Using the given points (-1, 7) and (4, -1), we calculate the slope as follows:
- y2 - y1 = -1 - 7 = -8
- x2 - x1 = 4 - (-1) = 4 + 1 = 5
- m = -8 / 5
Therefore, the slope of the line passing through the points (-1, 7) and (4, -1) is -8/5.