Answer:
the slope of the line that passes through the points (8,-6) and (5,-1) is -5/3.
Explanation:
To find the slope of the line that passes through the points (8,-6) and (5,-1), we can use the slope formula. The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Let's assign the coordinates of the first point (8,-6) as (x1, y1) and the coordinates of the second point (5,-1) as (x2, y2).
Using the slope formula, we have:
m = (-1 - (-6)) / (5 - 8)
Simplifying the numerator and denominator, we get:
m = (-1 + 6) / (5 - 8)
m = 5 / -3
Finally, simplifying the fraction, we have:
m = -5/3
Therefore, the slope of the line that passes through the points (8,-6) and (5,-1) is -5/3.