Question

If the line segment connecting P (X,7) and Q (10,Y) is bisected by the point R (6,4) ,what are the values of X and Y?

Please show your solution specifically. Thank you!

Answer 1

P(x₁,7) & Q(10,y₁)
Calculate the midpoint of the segment PQ, means we have to calculate R, the pairs of this midpoint. But this midpoint is known R(6,4) so let's use it to calculate respectively x & y in P(x₁,7) & Q(10,y₁)
x of midpoint = (x₁+x₂)/2 & y of midpoint = (y₁+y₂)/2
1) x=(x₁+10)/2, but x=6, hence 6=(x+10)/2 and x = 2
2) y=(7+y)/2, but y=4, hence 4=(7+y)/2 and y= 1