Final answer:
The slope of the line through (-7, -4) and (5, 2) is 1/2. Thus, the slope of a parallel line should also be 1/2, which is not listed in the provided choices.
Step-by-step explanation:
The question is asking for the slope of a line that is parallel to another line defined by two points. To find the slope of the line passing through the points (-7, -4) and (5, 2), we use the slope formula, which is the rise over the run, or the change in y divided by the change in x.
The slope m is calculated as follows:
m = (y2 - y1) / (x2 - x1)
m = (2 - (-4)) / (5 - (-7))
m = (6) / (12)
m = 1/2
Since parallel lines have equal slopes, the slope of a line parallel to the one through (-7, -4) and (5, 2) would also be 1/2. However, this option is not listed among the answer choices, indicating there may be an error in the question or the answer choices provided. In a typical situation, the correct choice would be the one identical to the slope just calculated.