Final answer:
To find the slope of a line passing through two points, apply the formula (y2 - y1) / (x2 - x1). For the points (2, 4) and (6, 12), the slope is calculated as (12 - 4) / (6 - 2), which is 2.
Step-by-step explanation:
The question asks to find the slope of the line that passes through the points (2, 4) and (6, 12). To find the slope, we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, x1 = 2, y1 = 4, x2 = 6, and y2 = 12. Plugging these into the formula yields:
m = (12 - 4) / (6 - 2) = 8 / 4 = 2
Therefore, the slope of the line is 2, which corresponds to option d).