Final answer:
The slope of the line passing through the points (2, -1) and (-8, -2) is found using the slope formula and results in a slope of 0.1.
Step-by-step explanation:
To find the slope of a line passing through the points (2, -1) and (-8, -2), we can use the formula for slope which is given by rise over run, or the change in y over the change in x. This is calculated using the formula (y2 - y1) / (x2 - x1). Here, we label our points (x1, y1) = (2, -1) and (x2, y2) = (-8, -2).
Now, let's substitute these values into the formula:
Slope = (y2 - y1) / (x2 - x1)
Slope = (-2 - (-1)) / (-8 - 2)
Slope = (-2 + 1) / (-8 - 2)
Slope = (-1) / (-10)
This simplifies to:
Slope = 1 / 10 = 0.1
Therefore, the slope of the line that passes through the points (2, -1) and (-8, -2) is 0.1.