Find the slope of the line that passes through (2, 16) and (5, 8).Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Question
Find the slope of the line that passes through (2, 16) and (5, 8).Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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 (2, 16) and (x2, y2) is (5, 8).
So, substituting these values into the formula gives:
slope = (8 - 16) / (5 - 2) slope = (-8) / 3
Therefore, the slope of the line that passes through the points (2, 16) and (5, 8) is -8/3.
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