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Find the slope of the line that passes through (9, 8) and (6, 15).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

Find the slope of the line that passes through (9, 8) and (6, 15).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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Solution

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

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

Here, the two points are (9, 8) and (6, 15). So, x1 = 9, y1 = 8, x2 = 6, and y2 = 15.

Substituting these values into the formula, we get:

m = (15 - 8) / (6 - 9) = 7 / -3 = -7/3

So, the slope of the line that passes through the points (9, 8) and (6, 15) is -7/3.

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