Question

If (a,b) is the midpoint of the segment joining the points A (10,-6) and B (k,4)and a - 2b=18, find the value of k and the distance AB

Answer 1

a=k+10/2     b = 4-6/2 = -1 
k+10/2 +2 =18 
k+10/2= 16
k+10 =32
k= 22 
dist = 
$\sqrt244$