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The slope of a line passing through the points (4,1) and (0,3) can be calculated using the formula:
Slope = (y2 - y1) / (x2 - x1)
Substitute the coordinates into the formula:
Slope = (3 - 1) / (0 - 4)
Slope = 2 / -4
Slope = -1/2
Therefore, the slope of the line passing through the points (4,1) and (0,3) is -1/2.