Find the slope of the line passing through the points (3, -1) and (0, 8)

To find the slope of a line passing through two points, you need to use the formula:

slope = (change in y-coordinates)/(change in x-coordinates)

Let's label the first point as (x1, y1) = (3, -1) and the second point as (x2, y2) = (0, 8).

The change in y-coordinates is y2 - y1 = 8 - (-1) = 8 + 1 = 9.
The change in x-coordinates is x2 - x1 = 0 - 3 = -3.

Now, plug these values into the slope formula:

slope = (change in y-coordinates)/(change in x-coordinates)
slope = 9/-3
slope = -3

Therefore, the slope of the line passing through the points (3, -1) and (0, 8) is -3.