Question

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

Answer 1

Answer:

  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.