SOLUTION: how to find two points are located at (-3,2) and (-1,1). what is the distance between the two points?

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: how to find two points are located at (-3,2) and (-1,1). what is the distance between the two points?      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 360755: how to find two points are located at (-3,2) and (-1,1). what is the distance between the two points?
Answer by jim_thompson5910(28476) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=-3 and y%5B1%5D=2.
Also, is the second point . So this means that x%5B2%5D=-1 and y%5B2%5D=1.


d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 Start with the distance formula.


d=sqrt%28%28-3--1%29%5E2%2B%282-1%29%5E2%29 Plug in x%5B1%5D=-3, x%5B2%5D=-1, y%5B1%5D=2, and y%5B2%5D=1.


d=sqrt%28%28-2%29%5E2%2B%282-1%29%5E2%29 Subtract -1 from -3 to get -2.


d=sqrt%28%28-2%29%5E2%2B%281%29%5E2%29 Subtract 1 from 2 to get 1.


d=sqrt%284%2B%281%29%5E2%29 Square -2 to get 4.


d=sqrt%284%2B1%29 Square 1 to get 1.


d=sqrt%285%29 Add 4 to 1 to get 5.


So our answer is d=sqrt%285%29


Which approximates to d=2.236


So the distance between the two points is approximately 2.236 units.