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📐 Mathematics  ·  Straight Lines  ·  JEE

The distance from point (3,-4) to line 3x - 4y + 5 = 0 is:

Answer: 6.

  • A 4
  • B 5
  • C 6
  • D 7

Correct answer: C. 6

Explanation: d = |3×3 - 4×(-4) + 5| / sqrt(9+16) = |9+16+5|/5 = 30/5 = 6.

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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