Question #c6084

1 Answer
Sunayan S
Nov 28, 2017

See the answer below...

Explanation:

  • If two lines are #color(red)("parallel"# to each other ,their #color(red)("slope"# will be #color(red)("equal"#.
  • If the two lines are #color(red)"perpendicular"# to each other then #color(red)("the product of their slope"# will be #color(red)((-1)#.

Let's write the equation in the form #color(red)(y=mx+c# to determine the slope which is #color(red)(m#.

#3y-x=6# #" ; "# #3y=x+18#
#=>3y=x+6##" ; "# #y=(1/3)x+6#
#=>y=(1/3)x+2#

Here, in both case the value of #color(red)(m# is same...

Hence the lines are parallel.

Hope it helps...
Thank you...

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