Given the end points

Question

Given the endpoint A (4,8) and midpoint M (-3,1), find the missing end point B

Answer 1

end point A(4,8) and midpoint M(-3,1) have B(-10,-6) as the other end point

4--3 = 4+3 = 7 subtract 7 from -3: -3-7 =-10 = x coordinate of B

8-1 = 7 subtract 7 from 1: 1-7 =-6 = y coordinate of B

4-10 = -6. -6/2 =-3

8-6 =2. 2/2 = 1

the midpoint has x and y coordinates that are the averages of the A and B coordinates