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The slope of a line passing through two points is given by the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the coordinates of the two points are (-2, 5) and (1, 4). Plugging in the values, we get:
slope = (4 - 5) / (1 - (-2))
simplify the equation:
slope = (-1) / (1 + 2)
slope = (-1) / 3
Therefore, the slope of the line passing through the points (-2, 5) and (1, 4) is -1/3.