Question

How do you do this?
AB has endpoints A(-3,2) B(3, -2)
Find the coordinates of the midpoint of AB.

Find AB to the nearest tenth.

Answer 1

The mid-point has coordinates which are the averages of those of A and B:
M((-3+3)/2, (2-2)/2)
or
M(0,0)

The length of a segment is obtained by summing the squares of the difference of coordinates, and then take square-root, namely
D(AB)=sqrt((x2-x1)^2+(y2-y1)^2)
=sqrt((3-(-3))^2+(-2-2)^2)
=sqrt(36+4)
=sqrt(40)
=2sqrt(10)