Final answer:
The slope of the line passing through (-1,7) and (4,-1) is -8/5.
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula:
Slope = (y2 - y1) / (x2 - x1)
Let's apply this formula to the given points:
Point 1: (-1, 7)
Point 2: (4, -1)
Using the formula, the slope is:
Slope = (-1 - 7) / (4 - (-1))
Slope = -8 / 5
Therefore, the slope of the line passing through the points (-1,7) and (4,-1) is -8/5.