SOLUTION: Find the distance of segment PQ with points P(-4,3) and Q(-6,1).

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Find the distance of segment PQ with points P(-4,3) and Q(-6,1).      Log On


   

Question 88638: Find the distance of segment PQ with points P(-4,3) and Q(-6,1).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29

d=sqrt%28%28-4--6%29%5E2%2B%283-1%29%5E2%29 Plug in x%5B1%5D=-4, x%5B2%5D=-6, y%5B1%5D=3, y%5B2%5D=1

d=sqrt%28%282%29%5E2%2B%282%29%5E2%29 Evaluate -4--6 to get 2. Evaluate 3-1 to get 2.

d=sqrt%284%2B4%29 Square each value

d=sqrt%288%29 Add

d=2%2Asqrt%282%29 Simplify the square root


Which approximates to

d=2.82842712474619

So the distance between (-4,3) and (-6,1) is about 2.82842712474619