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Find the slope of the line that passes through (4, 14) and (6, 5).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

Find the slope of the line that passes through (4, 14) and (6, 5).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, (x1, y1) is (4, 14) and (x2, y2) is (6, 5).

So,

m = (5 - 14) / (6 - 4) m = -9 / 2

Therefore, the slope of the line that passes through the points (4, 14) and (6, 5) is -9/2.

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