Final answer:
The slope of the line passing through the points (8,-6) and (5,-1) is calculated using the slope formula, and the result is -5/3.
Step-by-step explanation:
To find the slope of the line that passes through the points (8,-6) and (5,-1),
you can use the slope formula, which is:
Slope (m) = ∆y / ∆x = (y2 - y1) / (x2 - x1)
Let's apply the points to this formula:
(x1, y1) = (8, -6)
(x2, y2) = (5, -1)
So,
m = (-1 - (-6)) / (5 - 8)
= 5 / -3
= -5/3
Therefore, the slope of the line is -5/3.