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What is the slope of a vertical line?

  • A.0
  • B.1
  • C.-1
  • D.Undefined

Answer: D

A vertical line has a constant x-coordinate for all its points. Let two points be \((x, y_1)\) and \((x, y_2)\).

The slope formula is \(m = \frac{y_2-y_1}{x_2-x_1}\).

Here, the denominator \(x_2-x_1\) becomes \(x-x=0\).

Division by zero is undefined, so the slope of a vertical line is undefined.

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