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Line m contains the points (−3, 2) and (5 , 1). Line n contains the points (2 , 7) and (1, −1) . Which statement is TRUE about lines m and n?
A. The lines are parallel.
B. The lines are coincident.
C. Both lines intersect but are neither parallel nor perpendicular.
D. The lines are perpendicular.

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Answer:

  D.  The lines are perpendicular

Step-by-step explanation:

The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.

The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.

Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.

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