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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