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The slope of the line that passes through the pair of points (-4, 4) and (3, 2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

slope = (2 - 4) / (3 - (-4))
slope = -2 / 7

So, the slope of the line is -2/7.