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(b) Intercept form If C 0, then Ax + By + C = 0 can be written as

(c) Normal form Let x cos + y sin = p be the normal form of the line represented
by the equation Ax + By + C = 0 or Ax + By = – C. Thus, both the equations are
same and therefore,
Thus, the normal form of the equation Ax + By + C = 0 is
x cos + y sin = p,

Example Equation of a line is 3x – 4y + 10 = 0. Find its (i) slope, (ii) x - and
y-intercepts.
Solution (i) Given equation 3x – 4y + 10 = 0 can be written as

Example Reduce the equation √ x y 8 0 into normal form. Find the values of p and .
Solution Given equation is

10.5 Distance of a Point From a Line