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What is the slope of a line parallel to the line that contains (-7, -4) and (5, 2)?

a) 0
b) 1
c) 2
d) -2

User Noxasaxon
by
8.6k points

1 Answer

6 votes

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.

User Anette
by
7.9k points

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