Answer :

Let us mark the points on a graph sheet and call them A, B, C, D and join the four points in the same order to form a four-sided figure.


A = (- 7, 12)


B = (19, 18)


C= (15, - 6)


D= (- 11, - 12)


We know that slope of a line is given by


Slopes of lines AB, BC, CD and DA are calculated as given below.


Slope (AB)


Slope (BC)


Slope (CD)


Slope (DA)


We see that slope of AB = Slope of CD


And


Slope of BC = Slope of DA


So AB CD and BC DA


ABCD is a parallelogram.


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