Final answer:
The slope of the line passing through the points (2, 9) and (1, 3) is calculated using the change in y over the change in x, which results in a slope of 6.
Step-by-step explanation:
To find the slope, we use the formula: slope (m) = (change in y)/(change in x) = (y2 - y1) / (x2 - x1). Applying the points given: slope (m) = (3 - 9) / (1 - 2) = (-6) / (-1) = 6. Therefore, the slope of the line is 6, which corresponds to option C. This means that for every 1-unit increase in the x-coordinate, the corresponding y-coordinate decreases by 6 units. Therefore, the slope of the line is 6. This corresponds to option C, affirming that the correct answer is indeed 6, as calculated using the slope formula. The positive value indicates that the line is inclined upward, reflecting a positive correlation between the variables.