Final answer:
The slope of the line passing through the points (-3, 2) and (6, 2) is 0, indicating a horizontal line.
Step-by-step explanation:
The slope of a line is calculated by the formula (change in y) / (change in x), also known as 'rise over run'. To find the slope of the line passing through the points (-3, 2) and (6, 2), we can plug these points into the formula:
Slope = (y2 - y1) / (x2 - x1) = (2 - 2) / (6 - (-3)) = 0 / 9 = 0.
Since the change in y (rise) is zero, the slope of the line is 0. This indicates a horizontal line where the y-coordinate remains constant, which, in this case, is at y = 2.