Math  /  Algebra

QuestionThe equations of three lines are given below. Line 1: y=23x+7y=\frac{2}{3} x+7 Line 2: 3y=2x+53 y=2 x+5 Line 3: 4x6y=84 x-6 y=8
For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Neither Line 2 and Line 3: Parallel Perpendicular Neither

Studdy Solution
Compare the slopes of Line 2 and Line 3:
Both slopes are 23\frac{2}{3}, so Line 2 and Line 3 are parallel.
The relationships are: - Line 1 and Line 2: Parallel - Line 1 and Line 3: Parallel - Line 2 and Line 3: Parallel

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