Find the coordinates of the other endpoint of a segment with the given endpoint and midpoint M. - Show Work

Question

A(6,7)

M(10,-7)

Answer 1

Midpoint formula: (x1+x2)/2 , (y1+y2)/2

 

step 1: (6+x2)/2= 10

 

step 2: (7+y2)/2= -7

 

step 3: 6+x2= 20 because multiplied 2 on both sides

 

step 4: 7+y2= -14 because multiplied 2 on both sides

 

step 5: x2= 14 because subtracted 6 on both sides

 

step 6: y2= -21 because subtracted 7 on both sides

 

so other endpoint is ( 14, -21)

 

If you have any further questions let me know