A line contains the points (82, −96) and (87, −86). What is the slope of the line in simplified form? a. \( \frac{5}{1} \) b. \( \frac{10}{5} \) c. \( \frac{1}{5} \) d. \( \frac…

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asked Jun 22, 2024 168k views

1 Answer

Haacked · Answer 1 · 2024-06-28T12:12:26+0000

The slope of the line passing through the given points is 2.

To find the slope of a line passing through two points, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Given the points (82, -96) and (87, -86), we can substitute the values into the formula:

m = (-86 - (-96)) / (87 - 82) = 10 / 5 = 2

Therefore, the slope of the line is 2. The correct answer is b. 4.5.