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.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.1: Distance And Midpoint Formulas; Circles
Problem 11.1TI: Use the rectangular coordinate system to find the distance between the points (6,1) and (2,2).
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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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