SOLUTION: Can someone please show me what the step by step process is to solve this problem? Thank you so much! Find the distance between (8, 2) and (–6, -2)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Can someone please show me what the step by step process is to solve this problem? Thank you so much! Find the distance between (8, 2) and (–6, -2)      Log On


   

Question 87362: Can someone please show me what the step by step process is to solve this problem? Thank you so much!
Find the distance between (8, 2) and (–6, -2)
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%29

d=sqrt%28%288--6%29%5E2%2B%282--2%29%5E2%29 Plug in x%5B1%5D=8, x%5B2%5D=2, y%5B1%5D=-6, y%5B2%5D=-2

d=sqrt%28%2814%29%5E2%2B%284%29%5E2%29 Subtract 8--6 to get 14. Subtract 2--2 to get 4.

d=sqrt%28196%2B16%29 Square each value

d=sqrt%28212%29 Add each value

d=2%2Asqrt%2853%29 Simplify the square root


Which approximates to

d=14.560219778561
So the distance between (8,2) and (-6,-2) is 14.560219778561