Answer: JKLM is a parallelogram Explanation: The slope m of a line through two points (x1,y1) and (x2,y2)is given by the formula: m=Δy/Δx=y2-y1/x2-x1 So the slopes of the sides of our quadrilateral are: mJK=(−1)−24−(−3)=−37 mKL=(−5)−(−1)2−4=2 mLM=(−2)−(−5)−5−2=−37 mMJ=2−(−2)(−3)−(−5)=2 So JK is parallel to LM and KL is parallel to MJ So JKLM is a parallelogram.
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