To find the slope of a line passing through two points, we can use the slope formula:
slope = (difference in y-coordinates) / (difference in x-coordinates)
Let's call the coordinates of the first point (x₁, y₁) and the coordinates of the second point (x₂, y₂). In this case, the coordinates are (-2, 6) for the first point and (2, -2) for the second point.
Using the formula, we can calculate the slope:
slope = (6 - (-2)) / (-2 - 2)
slope = (6 + 2) / (-4)
slope = 8 / -4
slope = -2
Therefore, the slope of the line passing through the points (-2, 6) and (2, -2) is -2.