LOCUS VARIOUS FORMS OF LINES

 LOCUS VARIOUS FORMS OF LINES
Various Forms of a Line
General form of a line: The general form of a line is ax + by + c = 0, where a, b, c are real numbers but both ‘a’ and 'b' does not simultaneously equal to zero and x and y are variables 
NOTE: If a =0 i.e., bx+c=0, the line is parallel to y-axis 

NOTE: If b=0, i.e., ax+c=0, the line is parallel to x-axis
                
NOTE:  If a\(\ne \)0, b\(\ne\)0 ; then the line is neither parallel to x-axis nor parallel to y-axis

NOTE: If c=0, The line passes through the origin.