MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

Answer: D. They have the same slope of -1 and are therefore parallelStep-by-step explanation:In the linear equation ... ax + by = cthe 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 = -1The slopes are the same, and both slopes are -1, so the lines are parallel.