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📐 Mathematics  ·  Straight Lines  ·  JEE

The equation y = c (constant) represents:

Answer: A horizontal line.

  • A A line through origin
  • B A vertical line
  • C A horizontal line
  • D A diagonal line

Correct answer: C. A horizontal line

Explanation: y = constant represents a horizontal line parallel to the x-axis.

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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