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Find the slope of the line that passes through (9, 9) and (3, 16).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, 9) and (3, 16).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) = (9, 9) and (x2, y2) = (3, 16).

So, the slope = (16 - 9) / (3 - 9) = 7 / -6 = -7/6.

Therefore, the slope of the line that passes through the points (9, 9) and (3, 16) is -7/6.

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