Final answer:
The slope of the line passing through the points (14,3) and (-11,3) is 0, which indicates a horizontal line.
Step-by-step explanation:
The question asks for the slope of a line that passes through two points: (14,3) and (-11,3). The slope (m) is found by calculating the rise over run, or the change in y divided by the change in x. In this case:
Change in y (rise): 3 - 3 = 0
Change in x (run): 14 - (-11) = 14 + 11 = 25
Thus, the slope m = 0 / 25 = 0.
Therefore, the slope of the line passing through the points (14,3) and (-11,3) is 0, which corresponds to option a) 0. This indicates that the line is horizontal.