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📐 Mathematics  ·  Straight Lines  ·  JEE

Find the equation of line with x-intercept 3 and y-intercept 4.

Answer: x/3 + y/4 = 1.

  • A 4x + 3y = 12
  • B 3x + 4y = 12
  • C 4x - 3y = 12
  • D x/3 + y/4 = 1

Correct answer: D. x/3 + y/4 = 1

Explanation: Intercept form: x/a + y/b = 1, where a=3, b=4. So x/3 + y/4 = 1. Multiplying: 4x + 3y = 12. Both A and D are equivalent.

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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