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Determine the slope of the line that passes through each pair of points. write in simplest form.(3, 8) and (1, 5)

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Final answer:

The slope of the line that passes through the points (3, 8) and (1, 5) is 3/2 or 1.5 in simplest form. This is calculated using the slope formula m = (y2 - y1) / (x2 - x1).

Step-by-step explanation:

To determine the slope of the line that passes through each pair of points (3, 8) and (1, 5), we use the formula for slope which is:
m = (y2 - y1) / (x2 - x1)
Let's assign the points as follows: point 1 (x1, y1) is (3, 8) and point 2 (x2, y2) is (1, 5).
Substitute the values into the formula to obtain the slope:

m = (5 - 8) / (1 - 3) = (-3) / (-2)

So, the slope m is 3/2 or 1.5 when written in simplest form.

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