SOLUTION: Find the length and the midpoint of the segment joining the two given points. K(23, 4) and W(-2, 16)

Algebra ->  Length-and-distance -> SOLUTION: Find the length and the midpoint of the segment joining the two given points. K(23, 4) and W(-2, 16)      Log On


   

Question 842567: Find the length and the midpoint of the segment joining the two given points.
K(23, 4) and W(-2, 16)
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Length = sqrt%28+%28x2-x1%29%5E2+%2B+%28y2-y1%29+%29
For our problem x1=23 , x2=-2 , y1=4 and y2=16
So the length is
sqrt%28+%28%28-2%29-%2823%29%29%5E2+%2B+%28%2816%29-%284%29%29+%29
sqrt%28+%28-25%29%5E2+%2B+%2812%29%5E2%29
sqrt%28+625+%2B+144+%29
sqrt%28+769%29 , approximately 27.731
Midpoint = (+%28x1%2Bx2%29%2F2 , +%28y1%2By2%29%2F2+)
Midpoint = (+%2823%2B%28-2%29%29%2F2 , +%284%2B16%29%2F2+)
Midpoint = (+%2821%29%2F2 , +%2820%29%2F2+)
Midpoint = (+10.5 , +10+)