SOLUTION: I need your help, please help me: Find the distance between P and Q and the coordiantes of the midpoint of the segment joing P and Q. P(8,7),Q(5,4) Thanks

Algebra ->  Equations -> SOLUTION: I need your help, please help me: Find the distance between P and Q and the coordiantes of the midpoint of the segment joing P and Q. P(8,7),Q(5,4) Thanks      Log On


   

Question 318057: I need your help, please help me:
Find the distance between P and Q and the coordiantes of the midpoint of the segment joing P and Q.
P(8,7),Q(5,4)
Thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
To find the distance d between P(8,7) and Q(5,4), use:
d+=+sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29 substitute: x%5B1%5D+=+8,y%5B1%5D+=+7,x%5B2%5D+=+5, and y%5B2%5D+=+4
d+=+sqrt%28%285-8%29%5E2%2B%284-7%29%5E2%29
d+=+sqrt%28%28-3%29%5E3%2B%28-3%29%5E2%29
d+=+sqrt%289%2B9%29
d+=+sqrt%2818%29
d+=+sqrt%289%2A2%29
highlight%28d+=+3%2Asqrt%282%29%29
For the midpoint, you will be finding the x- and y-coordinates of the midpoint, so use:
x%5Bm%5D+=+%28x%5B1%5D%2Bx%5B2%5D%29%2F2 and y%5Bm%5D+=+%28y%5B1%5D%2By%5B2%5D%29%2F2
Use the same x- and y-coordinates of the two given points P and Q as above.
You can do this!