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The slope of the line passing through point (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
Using the coordinates (-5, -10) and (-1, 5):
slope = (5 - (-10)) / (-1 - (-5))
= (5 + 10) / (-1 + 5)
= 15 / 4
So, the slope of the line passing through (-5, -10) and (-1, 5) is 15/4 or 3.75.