Final answer:
The slope of a line containing the points (-7, 3) and (-4, -12) is found using the slope formula (y2 - y1) / (x2 - x1), which results in -5, corresponding to option A. -15/3.
Step-by-step explanation:
To determine what is the slope of a line containing the points (-7, 3) and (-4, -12), we need to use the slope formula which is slope (m) = (y2 - y1) / (x2 - x1). Applying this to the given points:
m = (-12 - 3) / (-4 + 7) = (-15) / 3 = -5.
Therefore, the slope of the line is -5, which simplifies the given options to A. -15/3, which is equivalent to -5.
So, the correct answer is A. -15/3.