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What is the slope of the line passing through points (2,-1) and (5,1)?

  1. -3

  2. -1/2

  3. 0

  4. 1/2

The correct answer is: -1/2

The slope of a line is defined as the change in y-coordinates over the change in x-coordinates. In this case, the slope can be calculated as (1-(-1))/(5-2) = 2/3. Therefore, none of the other options are correct. Option A has the incorrect sign, as the line is upward sloping. Option C has a slope of 0, meaning the line is horizontal and does not pass through the given points. Option D has the incorrect sign and magnitude. In conclusion, the slope of the line passing through the given points is positive 2/3, making option B the correct answer.