Slope of AB = 4/3, Slope of BC = -2/7, Slope of CD = 4/3, Slope of AD = -2/7 and Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.
<h3>How to find the slope of a quadrilateral?</h3>
We are given the coordinates of the quadrilateral ABCD as;
A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1).
Slope of AB = (5 - 1)/(-2 + 5) = 4/3
Slope of BC = (3 - 5)/(5 + 2) = -2/7
Slope of CD = (-1 - 3)/(2 - 5) = 4/3
Slope of AD = (-1 - 1)/(2 + 5) = -2/7
Thus we can see that both pairs of slope are equal which denotes that both pairs are parallel.
Read more about Slope of quadrilateral at; brainly.com/question/16691874
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