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Summary

  • Slope of a line joining by .
  • If a line makes an angle with the positive direction of ,
  • Slope of is zero, slope of is not defined.
  • Parallel lines have same slope.
  • If two lines are perpendicular, the product of their slopes = ( 1).
  • The acute angle between lines with slopes is given by .
  • Three points A, B, C are collinear if slope of AB = slope of BC.
  • The equation of is and that of is
  • Any line parallel to at a distance units from it is given by any line parallel to at a distance of units from it has equation
  • The general equation of a line is of the form where are not zero simultaneously. Slope of this line is .
  • If is the slope and is the -intercept of a line, then its equation is
  • The equation of a line having slope and passing through is given by: .
  • The equation of a line joining the points
  • A line with -intercept units and -intercept units has equation:
  • The equation of a line having normal distance from the origin and the angle between the normal and the positive is .
  • The perpendicular distance of a line from a point is given by
    The perpendicular distance of (0, 0) from
  • The distance between the parallel lines and is given by
  • If two straight lines are parallel, then the coefficients of are proportional in their equations. In particular, the equations of two parallel lines differ only by a constant.
  • The equation of straight line perpendicular to the line is of the form where is a constant.
  • The equation of a straight line passing through the intersection of and is where is a constant.




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