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Math  /  Geometry

QuestionThe equations of three lines are given below. Line 1: 3y=−4x+73 y=-4 x+7 Line 2:8x+6y=−82: 8 x+6 y=-8 Line 3:y=−43x−63: y=-\frac{4}{3} x-6
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
Determine the relationship between Line 2 and Line 3:
Slopes: m2=−43m_2 = -\frac{4}{3}, m3=−43m_3 = -\frac{4}{3}
Since m2=m3m_2 = m_3, Line 2 and Line 3 are Parallel.
The relationships are as follows: - Line 1 and Line 2: Parallel - Line 1 and Line 3: Parallel - Line 2 and Line 3: Parallel

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