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Angular Slope of a Line in 2D

  1. The Angular Slope of a Line in \(2\)-Dimensional Cartesian Coordinate System is the Counter-Clockwise Angle that the Line makes with the Positive Direction of \(X\)-Axis.
  2. Given the following Standard Equation of a Line

    \(Ax + By + C=0\)

    The Angular Slope of Line \(\theta\) can be calculated as follows

    \(\theta=\arccos(\frac{B}{\sqrt{A^2 + B^2}}) \mod \pi\)    (if \(A \leq 0\))

    \(\theta=\arccos(\frac{-B}{\sqrt{A^2 + B^2}}) \mod \pi\)    (if \(A > 0\))

    The value of the Angle \(\theta\) gets calculated such that \(0 \leq \theta < \pi\).
Related Topics and Calculators
Introduction to Lines,    Derivation/Representation of Equation of Lines,    Finding Points on Line/Intercepts of Line,    Types of Lines in 2D,    Types of Lines in 3D,    Condition for Collinearity of 3 Points,    Angular Normal of a Line in 2D,    Angle Between 2 Lines,    Relation Between 2 Lines,    Condition for Concurrency of Lines,    Family of Lines in 2D
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