Final answer:
The slope of the line passing through the given points is zero, and the line is horizontal. Therefore, the correct answer is: C. The slope is zero, and the line is horizontal.
Step-by-step explanation:
To find the slope of the line passing through the given points (1, 5) and (4, 5) using the slope formula, we can use the formula:
Slope = (y2 - y1) / (x2 - x1)
Substituting the given coordinates into the formula, we get:
Slope = (5 - 5) / (4 - 1) = 0 / 3 = 0
Since the slope is 0, the line is horizontal.
Therefore, the correct answer is:
C. The slope is zero, and the line is horizontal.