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📐 Mathematics  ·  Straight Lines  ·  JEE

Slope of a vertical line is:

Answer: Undefined.

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

Correct answer: C. Undefined

Explanation: A vertical line has undefined slope (infinite rise, zero run).

Slope as Rise over Runxy(x₁,y₁)(x₂,y₂)run = x₂−x₁rise = y₂−y₁m = rise/run = (y₂−y₁)/(x₂−x₁) = tanθ

The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.

Concept context

Points, lines, and curves on the Cartesian plane

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