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Find the slope of the line that passes through (4, 12) and (10, 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 (4, 12) and (10, 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) = (4, 12) and (x2, y2) = (10, 7).

So, the slope = (7 - 12) / (10 - 4) = -5 / 6

Therefore, the slope of the line that passes through the points (4, 12) and (10, 7) is -5/6.

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