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📐 Mathematics  ·  Straight Lines  ·  JEE

Find the slope of line 2x + 3y = 6.

Answer: -2/3.

  • A -2/3
  • B 2/3
  • C 3/2
  • D -3/2

Correct answer: A. -2/3

Explanation: Rewrite: 3y = -2x + 6, y = -2/3 x + 2. Slope = -2/3.

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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