Question

what is the answer of this?the line segment connecting (x,6)and (9,y) is bisected by the point (7,3) find the values of x and y

Answer 1

so (7,3) is the midpoint

remember how to find the midpoint between
(a,b) and (c,d)
midpoint = ( (a+c)/2 , (b+d)/2 )

so if the endpoints are (x,6) and (9,y)
then ( (x+9)/2 , (6+y)/2 ) = (7,3)

(x+9)/2 = 7
x+9 = 14
x = 5

and

(6+y)/2 = 3
6+y = 6
y = 0

x = 5 , y = 0

check:
what is the midpoint of
(5,6) and (9,0) ?

Answer 2

11/2 and 9/2