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Find the slope of the line that passes through (10, 8) and (6, 17).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

Find the slope of the line that passes through (10, 8) and (6, 17).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:

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

Here, (x1, y1) is (10, 8) and (x2, y2) is (6, 17).

So,

slope = (17 - 8) / (6 - 10) = 9 / -4 = -9/4

So, the slope of the line that passes through the points (10, 8) and (6, 17) is -9/4.

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