Which two lines are parallel?

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1 Answer
Mar 21, 2018

Lines I. (#3y = -2x -3#) and III. (#3y + 2x = -1#) are parallel.

Explanation:

Parallel lines have equal slopes.

I. #3y = -2x -3#
#y = -2/3x -1#
The slope of Line I. is #-2/3#.

II. #3y = -2 + 4x#
#3y = 4x - 2#
#y = 4/3x - 2/3#
The slope of Line II. is #4/3#.

III. #3y + 2x = -1#
#3y = -2x - 1#
#y = -2/3x - 1/3#
The slope of Line III. is #-2/3#.

Since Line I. and Line III. have the same slope (#-2/3#), they are parallel.