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Find the slope of the line that passes through (3, 4) and (1, 9).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

Find the slope of the line that passes through (3, 4) and (1, 9).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 (3, 4) and (x2, y2) is (1, 9).

So, the slope = (9 - 4) / (1 - 3) = 5 / -2 = -5/2

So, the slope of the line that passes through the points (3, 4) and (1, 9) is -5/2.

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