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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/01%3A_Introduction_to_Physics_Measurements_and_Mathematics_Tools/1.09%3A_Math_Review_of_Other_Topics/1.9.04%3A_Parallel_and_Perpendicular_LinesOften you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope \(m=...Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope \(m=\frac{1}{2}\), and the slope of a line parallel is \(m_{∥}=\frac{1}{2}\). If we try to find the slope of a perpendicular line by finding the opposite reciprocal, we run into a problem: \(m_{\perp}=-\frac{1}{0}\), which is undefined.
- https://phys.libretexts.org/Courses/Gettysburg_College/Phys_111%3A_Physics_symmetry_and_conservation/04%3A_Miscellanea/4.02%3A_Math_Review/4.2.06%3A_Parallel_and_Perpendicular_LinesTwo nonvertical lines in the same plane, with slopes \(m_{1}\) and \(m_{2}\), are parallel if their slopes are the same, \(m_{1}=m_{2}\). Often you will be asked to find the equation of a line given s...Two nonvertical lines in the same plane, with slopes \(m_{1}\) and \(m_{2}\), are parallel if their slopes are the same, \(m_{1}=m_{2}\). Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope \(m=\frac{1}{2}\), and the slope of a line parallel is \(m_{∥}=\frac{1}{2}\).
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/02%3A_Math_Review/2.06%3A_Parallel_and_Perpendicular_LinesTwo nonvertical lines in the same plane, with slopes \(m_{1}\) and \(m_{2}\), are parallel if their slopes are the same, \(m_{1}=m_{2}\). Often you will be asked to find the equation of a line given s...Two nonvertical lines in the same plane, with slopes \(m_{1}\) and \(m_{2}\), are parallel if their slopes are the same, \(m_{1}=m_{2}\). Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope \(m=\frac{1}{2}\), and the slope of a line parallel is \(m_{∥}=\frac{1}{2}\).
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/01%3A_Introduction_to_Physics_Measurements_and_Mathematics_Tools/1.09%3A_Math_Review_of_Other_Topics/1.9.04%3A_Parallel_and_Perpendicular_LinesOften you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope \(m=...Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope \(m=\frac{1}{2}\), and the slope of a line parallel is \(m_{∥}=\frac{1}{2}\). If we try to find the slope of a perpendicular line by finding the opposite reciprocal, we run into a problem: \(m_{\perp}=-\frac{1}{0}\), which is undefined.
