Final answer:
The correct answer is A. The slope of the line through the points (1, 4) and (0, 11) is -7. This is calculated using the slope formula, and it indicates that the line has a negative slope.
Step-by-step explanation:
To find the slope of the line passing through the points (1, 4) and (0, 11), we use the slope formula: slope (m) = (y2 - y1) / (x2 - x1). Here, (x1, y1) is the first point (1, 4) and (x2, y2) is the second point (0, 11).
Substituting the given values into the formula, we get:
m = (11 - 4) / (0 - 1)
m = 7 / -1
m = -7.
Therefore, the slope of the line is negative 7, which means the line has a negative slope and for every one unit increase in x, y decreases by 7 units.