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📐 Mathematics  ·  Straight Lines  ·  JEE

The equation of a line with slope 2 passing through (0, 3) is:

Answer: y = 2x + 3.

  • A y = 2x + 3
  • B y = 3x + 2
  • C y = 2x − 3
  • D x = 2y + 3

Correct answer: A. y = 2x + 3

Explanation: Using y = mx + c with m = 2 and c = 3 gives y = 2x + 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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