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Quadrilateral WXYZ is on a coordinate plane.

Segment XY is on the line x - y = -3, and segment WZ is on the line x - y = 1. Which statement proves how segments XY and WZ 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.

x-y = -3  => y = x+3...........(1)  => slope = coefficient of x = 1

x-y = 1  => y = x-1 ..............(2) => slope = coefficient of x = 1

Therefore the correct statement is

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

(see also graph, attached)