Final answer:
The slope of the line containing the points (-2,5) and (1, -7) is -4.
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula: slope = (y2 - y1)/(x2 - x1). Let's plug in the values given: (-2, 5) and (1, -7).
slope = (-7 - 5)/(1 - (-2)) = -12/3 = -4.
Therefore, the slope of the line containing the points (-2,5) and (1, -7) is -4, which corresponds to option A.