Find the slope of the line that passes through (1, 5) and (10, 1).Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Question
Find the slope of the line that passes through (1, 5) and (10, 1).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) = (1, 5) and (x2, y2) = (10, 1).
So, substituting these values into the formula gives:
slope = (1 - 5) / (10 - 1) slope = -4 / 9
So, the slope of the line that passes through the points (1, 5) and (10, 1) is -4/9.
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