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📐 Mathematics  ·  Straight Lines  ·  JEE

The slope-intercept form of a line is:

Answer: y = mx + c.

  • A y = mx + c
  • B ax + by + c = 0
  • C x = my + c
  • D y = c/x

Correct answer: A. y = mx + c

Explanation: y = mx + c, where m is slope and c is y-intercept.

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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