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📐 Mathematics  ·  Straight Lines  ·  JEE

Equation of line through origin and (3,5) is:

Answer: 3y = 5x.

  • A 5y = 3x
  • B 3y = 5x
  • C y = 5x
  • D y = 3x+5

Correct answer: B. 3y = 5x

Explanation: Slope = 5/3. Through origin: y = (5/3)x, or 3y = 5x.

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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