Draw the graph of the lines 2x-3y=4 and 6y=4x+3 using the same pair of axes .Are these lines parallel?

Asked by M.s.srinidhi21 | 30th Sep, 2014, 11:56: AM

Expert Answer:

C o n s i d e r space t h e space f o l l o w i n g space g r a p h :
C o n s i d e r space t h e space g i v e n space e q u a t i o n s : 2 x minus 3 y equals 4 space a n d space 6 y equals 4 x plus 3 rightwards double arrow 2 x minus 4 equals 3 y space a n d space 6 y equals 4 x plus 3 rightwards double arrow y equals fraction numerator 2 x over denominator 3 end fraction minus 4 over 3 space a n d space y equals 4 over 6 x plus 3 over 6 C o m p a r e space t h e space a b o v e space e q u a t i o n s space w i t h space t h e space g e n e r a l space e q u a t i o n space y equals m x plus c comma space w h e r e space m space i s space t h e space s l o p e r space o f space t h e space w q u a t i o n a a n d space c space i s space t h e space y space i n t e r c e p t. L e t space m subscript 1 space a n d space m subscript 2 space b e space t h e space s l o p e s space o f space t h e space l i n e s space 2 x minus 3 y equals 4 space a n d space 6 y equals 4 x plus 3 rightwards double arrow m subscript 1 equals 2 over 3 space a n d space m subscript 2 equals 4 over 6 equals 2 over 3 rightwards double arrow m subscript 1 equals 2 over 3 equals m subscript 2 S i n c e space t h e space s l o p e s space a r e space e q u a l comma space t h e space l i n e s space a r e space p a r a l l e l.

Answered by Vimala Ramamurthy | 30th Sep, 2014, 12:25: PM