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📐 Mathematics  ·  Straight Lines  ·  JEE

The combined equation of x-axis and y-axis is:

Answer: xy = 0.

  • A x + y = 0
  • B x - y = 0
  • C xy = 0
  • D x² + y² = 0

Correct answer: C. xy = 0

Explanation: x-axis: y = 0; y-axis: x = 0. Combined: xy = 0.

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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