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What is the slope of the line that passes through the points (10, 8) and (7, 14)?

What is the slope of the line that passes through the points (10, 8) and (7, 14)? Write your answer in simplest form.

Answer

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is calculated using the formula:

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

Substituting the given points (10, 8) and (7, 14):

m = (14 - 8) / (7 - 10) = 6 / -3 = -2

Therefore, the slope of the line is -2.

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