Final answer:
The slope of the line connecting the points (6, 9) and (7, 1) is calculated using the formula (y2 - y1) / (x2 - x1), resulting in a slope of -8.
Step-by-step explanation:
To find the slope of the line connecting the points (6, 9) and (7, 1), you can use the slope formula which is the change in y divided by the change in x, often expressed as (y2 - y1) / (x2 - x1).
Applying this formula to the given points:
Let (x1, y1) = (6, 9). Let (x2, y2) = (7, 1).
The slope (m) calculation will look like this:
m = (1 - 9) / (7 - 6) = -8 / 1 = -8
Therefore, the slope of the line is -8.