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📐 Mathematics  ·  Straight Lines  ·  JEE

Two parallel lines have:

Answer: Same slope.

  • A Same y-intercept
  • B Same slope
  • C Slopes whose product is -1
  • D No common slope

Correct answer: B. Same slope

Explanation: Parallel lines never meet and have equal slopes (m<sub>1</sub> = m<sub>2</sub>).

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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