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The identity that gives the value of the slope of the line that is passing through two given points is:

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

We'll identify x1 = 3, x2 = 8, y1 = 4 and y2 = 9

m = (9-4)/(8-3)

m = 5/5

m = 1

**The requested value of the slope of the line that is passing through the given points is m = 1.**

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