If I am given a set of coordinates how do I determine if the figure is a parallelogram and prove using the slope formula for each segment?

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 Coordinates: A(-3, 4), B(4, 5), C(5, -1), D(-2, -2).

 Slope of AB = 1/7
 Slope of BC = -6
 Slope of CD = 1/7
Slope AD = -6

 ABCD is a parallelogram....Show more

The slopes are 1/7, -6, 1/7, and -6.
So there are two pairs of parallel sides.  It's a parallelogram.
You can make yourself feel better about it by drawing a picture of it, too....Show more