SOLUTION: can someone please assist me with this question please find the distance between the points and the midpoint of the line segment which connects them. (-2/3, 3/2) , (7/3, 2)

Algebra ->  Graphs -> SOLUTION: can someone please assist me with this question please find the distance between the points and the midpoint of the line segment which connects them. (-2/3, 3/2) , (7/3, 2)       Log On


   



Question 1055313: can someone please assist me with this question please
find the distance between the points and the midpoint of the line segment which connects them.
(-2/3, 3/2) , (7/3, 2)
Thanks for any help with this in advance I appreciate it. (The negative sign is centered in the fraction).

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula to find the distance between the endpoints.
Half of that distance will be the distance between the midpoint and the endpoints,
D%5E2=%287%2F3-%28-2%2F3%29%29%5E2%2B%284%2F2-3%2F2%29%5E2
D%5E2=%289%2F3%29%5E2%2B%281%2F2%29%5E2
D%5E2=9%2B1%2F4
D%5E2=37%2F4
D=sqrt%2837%29%2F2
So the distance between the midpoint and endpoints would be,
D%5Bm%5D=sqrt%2837%29%2F4