Final answer:
The slope of the line joining the two points (4, -2) and (6, -8) is -3.
Step-by-step explanation:
To find the slope of a line passing through two points, you can use the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the two points are (4, -2) and (6, -8).
Therefore, the slope = (-8 - (-2)) / (6 - 4) = -6 / 2 = -3.
So, the slope of the line joining the two points (4, -2) and (6, -8) is -3.