Question

Show by using slope that the figure with vertices A(-5, -2), B(-4, 2), C(4, 5), and D(3, 1) is a parallelogram

Answer 1

AB(-5+4;-2-2)
AB(-1;-4).......x=-1 and y=-4
DC(4-3;5-1)
DC(1;4).........x'=1 and y'= 4
Let's calculate the value xy'-x'y
(-1)*4-(-4)*1=0
so AB=DC and ABCD is a parallelogram