SOLUTION: Given the line y = 3x – 2 and the point (2, -4), find the equations of the lines parallel and perpendicular to the line above.

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Question 321919: Given the line y = 3x – 2 and the point (2, -4), find the equations of the lines parallel and perpendicular to the line above.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Parallel lines have identical slopes.

Use the point (2,-4) to solve for .




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Perpendicular lines have slopes that are negative reciprocals,



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Again, use the point (2,-4) to solve for b,




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Blue line is the original line.
Red line is the parallel line.
Green line is the perpendicular line.

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