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Find the slope of the line that passes through (-2,6) and (5,2).

  1. -4

  2. 4

  3. -1/4

  4. 1/4

The correct answer is: -1/4

The slope formula is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two points on the line. Therefore, we can substitute the given points into the formula to find the slope (2-6)/(5-(-2)) = -4/7 This means that the slope of the line is -4/7. Option A is incorrect because it is not the slope calculated using the given points. Option B is incorrect because it is the opposite of the slope calculated, which should be negative. Option D is incorrect because it is the reciprocal of the correct slope. The slope of a line passing through these two points is a negative value, not a positive value.