SOLUTION: The equations of three lines are given below: Line 1: 4y = 3x + 5 Line 2: y = 3/4x + 8 Line 3: 8x - 6y = -6 For each pair of lines, determine whether they are parallel,

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Question 1153686: The equations of three lines are given below:
Line 1: 4y = 3x + 5
Line 2: y = 3/4x + 8
Line 3: 8x - 6y = -6
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2.
Line 1 and Line 3.
Line 2 and Line 3.

Thank you so much!!

Answer by ikleyn(53937) (Show Source):
You can put this solution on YOUR website!
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Let's write all three equations in the form y = ax + b. Line 1: y = + Line 2: y = + 8 Line 3: y = + 1. Now you see that Line 1 and Line 2 have the same slope, but they are not identical; they are different. Hence, they are parallel. Line 1 and Line 3 have different slope; hence, they are not parallel. The slopes {{3/4}}} and are not negative reciprocal. Hence, Line 1 and Line 2 are not perpendicular. The optional answer is NEITHER. Line 2 and Line 3 have different slope; hence, they are not parallel. The slopes {{3/4}}} and are not negative reciprocal. Hence, Line 2 and Line 3 are not perpendicular. The optional answer is NEITHER.

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