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Find the slope of the line that passes through (6, 6) and (4, 7).Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

Find the slope of the line that passes through (6, 6) and (4, 7).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) = (6, 6) and (x2, y2) = (4, 7).

So, the slope = (7 - 6) / (4 - 6) = 1 / -2 = -1/2.

Therefore, the slope of the line that passes through the points (6, 6) and (4, 7) is -1/2.

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