Answer:
Not parallelogram
Explanation:
points A(-4, 1), B(1,3), C(8, -1) and D(4, -3).
The slope of a line can be found using the following formula:
Slope

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Using the formula above,
Side AB: Slope =

Side BC: Slope =

Side CD: Slope =

Side DA: Slope =

Since The slopes of opposite sides are equal,
Therefore ABCD is not Parallelogram: