SOLUTION: This is actually supposed to be a formula but what are the formula's for the distance formula on a (xy) Plane ( 2D, and the Midpoint formula on a (x,y) plane, (2d) . Is it the same

Algebra ->  sets and operations -> SOLUTION: This is actually supposed to be a formula but what are the formula's for the distance formula on a (xy) Plane ( 2D, and the Midpoint formula on a (x,y) plane, (2d) . Is it the same      Log On


   

Question 147196: This is actually supposed to be a formula but what are the formula's for the distance formula on a (xy) Plane ( 2D, and the Midpoint formula on a (x,y) plane, (2d) . Is it the same formula on a number line?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Distance formula d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 where and are the two points.


Midpoint Formula:

Find x-coordinate of midpoint x%5Bmid%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2

Find y-coordinate of midpoint y%5Bmid%5D=%28y%5B1%5D%2By%5B2%5D%29%2F2


So the midpoint between the points and is



These formulas work on the number line as well. Just make each y-coordinate equal to zero. So if you want find the distance between 4 and 10. Think of them as the points (4,0) and (10,0) and find the distance between the two points. Although, you can simply subtract 4 from 10 to get 6 (which is the distance).