Question

How do you decide whether the graphs of the two equations are parallel lines: y=2x−1,y=−2x+1?

Answer 1

see the attachement.

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Answer 2

Answer:

The given lines are not parallel.

Step-by-step explanation:

First, convert the given two lines into ax+by+c=0 form..

     y=2x-1 this line can be represented as 2x-y-1=0

     y=-2x+1  can be represented as 2x+y-1=0

To check weather the given lines are parallel or not...we need to verify that co-efficients of x and y of both the lines are same or not i.e,

Mathematically,

The lines are said to be parallel when the two lines are in form of

                                  ax+by+k=0   First line

                                  ax+by+l=0    Be the second line

                    where k,l be any number...

Coming to the given question,

             The co-efficients of 2x-y-1=0 is a=2 b=-1

                "                         "   2x+y-1=0 is a=2 b=1

As the co-efficients aren't equal these both are not parallel lines.

Hoping...this answer can be given as best answer..!!