SOLUTION: Find the distance d(P1, P2) between the points P1 and P2. P1=(0,6); P2=(-2,6)

Algebra ->  Pythagorean-theorem -> SOLUTION: Find the distance d(P1, P2) between the points P1 and P2. P1=(0,6); P2=(-2,6)      Log On


   

Question 293363: Find the distance d(P1, P2) between the points P1 and P2. P1=(0,6); P2=(-2,6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=0 and y%5B1%5D=6.
Also, is the second point . So this means that x%5B2%5D=-2 and y%5B2%5D=6.


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%280--2%29%5E2%2B%286-6%29%5E2%29 Plug in x%5B1%5D=0, x%5B2%5D=-2, y%5B1%5D=6, and y%5B2%5D=6.


d=sqrt%28%282%29%5E2%2B%286-6%29%5E2%29 Subtract -2 from 0 to get 2.


d=sqrt%28%282%29%5E2%2B%280%29%5E2%29 Subtract 6 from 6 to get 0.


d=sqrt%284%2B%280%29%5E2%29 Square 2 to get 4.


d=sqrt%284%2B0%29 Square 0 to get 0.


d=sqrt%284%29 Add 4 to 0 to get 4.


d=2 Take the square root of 4 to get 2.


So our answer is d=2


So the distance between the two points is 2 units.


Note: If you plot the two points on a coordinate grid, you can easily count the number of spaces between the two points to be 6 units. However, this method only works if the two points have either the same x coordinate or the same y coordinate.