Final answer:
The slope of the line that passes through the points (10,8) and (4,12) is calculated using the slope formula and results in -2/3, matching option (A).
Step-by-step explanation:
To find the slope of the line passing through the points (10, 8) and (4, 12), we use the slope formula m = (y2 - y1) / (x2 - x1), where the coordinates of the two points are (x1, y1) and (x2, y2). Substituting the given points into the formula:
m = (12 - 8) / (4 - 10) = 4 / (-6) = -2/3.
Therefore, the slope of the line through these two points is -2/3, which corresponds to option (A).