Segment GH has end points of (1,3) and (-5,-1) prove that the midpoint is in Quadrant ll

Question

How to find the quadrant of the midpoint?

Answer 1

I always think of the midpoint of a segment like the average of the two ends. 

 

Add together the x coordinates and divide by 2, then add together the y coordinates and divide by two. 

 

For the x's  1 + (-5)  =  -2

                    2 

 

For the y's  3 + (-1)  =  1

                     2

 

the ordered pair that makes up the midpoint is (-2,1) which lies in the second quadrant.