Prove that the points (-4, -1), (-2, -4), (4,0) and (2,3) are the vertices of a rectangle.

Explanation

To prove that the points A(-4, -1), B(-2, -4), C(4, 0), and D(2, 3) are the vertices of a rectangle, we need to show that:

1. Opposite sides are parallel.
2. Adjacent sides are perpendicular.
3. Opposite sides are equal in length.

### Step 1: Find the slopes of the sides

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