In the figure, P(-4,3), Q(-2,-4), R(k,-17/2) and S(1,2) are four points on a rectangular coordinate plane, where PQ // RS.  a) Find the value of k. b) Is PQRS a parallelogram? Show your reasoning.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.1: The Coordinate Plane
Problem 57E
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In the figure, P(-4,3), Q(-2,-4), R(k,-17/2) and S(1,2) are four points on a rectangular coordinate plane, where PQ // RS. 

a) Find the value of k.

b) Is PQRS a parallelogram? Show your reasoning.

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