Someone

four members of a marching band are arranged to form the vertices of a parallelogram. the coordinates of three of the band members are a(−3, 1), b(1, 3), and c(2, −1).

part 1: given this information, find all possible coordinates for the fourth band member.

part 2: how do you know that you have found all possible coordinates? justify your answer using words, mathematics, and/or patterns as needed.

To find if something is a parallelogram, they 1 set of line segments need to have the the slope. In this equation, Slope equals x1 + x2 divided by y1 + y2 (Or the other way around, x2 + x1 divided by y2 + y1)

For your other point, it could be (-4,5)

If this is confusing, please tell me! I'll try to better explain. It also helps to draw out a graph so you can plot the points.

1 is c

2 is a

3 is a

step-by-step explanation: