Which equation represents a line that is parallel to the line #y=3- 2x#?

1 Answer
Shwetank Mauria
Dec 28, 2016

#y=k-2x#, where #k!=3#.

Explanation:

A line parallel to #ax+by+c=0# is of the type #ax+by+k=0#, where #k!=c#. Note this means that only constant term changes. Note that in such cases slopes of both are same i.e. #-a/b#.

Hence equation of a line parallel to #y=3-2x# is #y=k-2x#, where #k!=3#.

Note: A line pperpendicular to #ax+by+c=0# is of the type #bx-ay+k=0#. Note this means that coefficients of #x# and #y# are interchanged and relatively their sign changes. Note that in such cases slopes of both are #-a/b# and #b/a# and their product is #-1#.

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