SOLUTION: What is the distance formula between EF with endpoints E (-8,1) and F (1,1)

Algebra ->  Proportions  -> Lessons -> SOLUTION: What is the distance formula between EF with endpoints E (-8,1) and F (1,1)      Log On


   

Question 983524: What is the distance formula between EF with endpoints E (-8,1) and F (1,1)
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Distance from any point (u,v) and (r,w) is sqrt%28%28u-r%29%5E2%2B%28v-w%29%5E2%29.

The final finished answer for your two given points, is 9.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!

First,  compute the vector  EF  (with the start-point  E  and the end-point  F)  in the coordinate form

 EF = (1 - (-8), 1 - 1) = (9, 0).

In other words,  x-component  dx = 1 - (-8) = 9  and  y-component  dy = 1 - 1 = 0.

Now,  the length of the vector  EF  is

sqrt%28dx%5E2+%2B+dy%5E2%29 = sqrt%289%5E2+%2B+0%5E2%29 = sqrt%2881%29 = 9.