Zaymiey

📐 Mathematics  ·  Straight Lines  ·  JEE

The slope of a line perpendicular to y = 2x + 3 is:

Answer: equal to −1/2.

  • A equal to −1/2
  • B equal to 2
  • C equal to 1/2
  • D equal to −2

Correct answer: A. equal to −1/2

Explanation: Perpendicular slopes multiply to −1, so the slope is −1/2.

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

Read the full Straight Lines notes →