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30 January, 10:23

Quadrilateral WXYZ is on a coordinate plane. Segment YZ is on the line x+y=7, and segment XW is on the line x+y=3. Which statement proves how segments YZ and XW are related?

A. They have slopes that are opposite reciprocals of 1 and - 1 and are therefore perpendicular

B. They have the same slope of 1 and are therefore parallel

C. They have slopes that are opposite reciprocals of 0 and undefined and are therefore perpendicular

D. They have the same slope of - 1 and are therefore parallel

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  1. 30 January, 13:37
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    D. They have the same slope of - 1 and are therefore parallel

    Step-by-step explanation:

    In the linear equation ...

    ax + by = c

    the slope of the line is m = - a/b. For the given equations, the slopes are ...

    x+y = 7 ⇒ m = - 1/1 = - 1

    x+y = 3 ⇒ m = - 1/1 = - 1

    The slopes are the same, and both slopes are - 1, so the lines are parallel.
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