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What is the slope of a vertical line?

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Detailed Solution

The slope of a vertical line is undefined.

Explanation

Slope formula: m = (y₂ − y₁) / (x₂ − x₁)

In a vertical line, all the x-coordinates are the same (e.g., x = 3).
So x₂ − x₁ = 0.
Division by 0 is not defined in mathematics, so the slope cannot be calculated.

Important points

A horizontal line has slope = 0.
A vertical line has slope = undefined.
This distinction matters for graphing and line equations.

Final Answer: The slope of a vertical line is undefined because the change in x is zero, and division by zero is not defined.

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