The slope of a line can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
For the line passing through (5, 4) and (10, 6), we have:
m = (6 - 4) / (10 - 5)
m = 2 / 5
So, the slope of the line is 2/5, which can be written as a proper fraction.