SOLUTION: find the distance between the pair of points (-1, -4) and (-5, -7) find the distance between the pair of points (-2, -6) and (7, -3) find the midpoint of the line seg

Algebra ->  Graphs -> SOLUTION: find the distance between the pair of points (-1, -4) and (-5, -7) find the distance between the pair of points (-2, -6) and (7, -3) find the midpoint of the line seg      Log On


   

Question 207328: find the distance between the pair of points (-1, -4) and (-5, -7)


find the distance between the pair of points (-2, -6) and (7, -3)


find the midpoint of the line segment with the given and points (2,1) and (6,8)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.


Note: is the first point . So this means that x%5B1%5D=-1 and y%5B1%5D=-4.
Also, is the second point . So this means that x%5B2%5D=-5 and y%5B2%5D=-7.


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%28-1--5%29%5E2%2B%28-4--7%29%5E2%29 Plug in x%5B1%5D=-1, x%5B2%5D=-5, y%5B1%5D=-4, and y%5B2%5D=-7.


d=sqrt%28%284%29%5E2%2B%28-4--7%29%5E2%29 Subtract -5 from -1 to get 4.


d=sqrt%28%284%29%5E2%2B%283%29%5E2%29 Subtract -7 from -4 to get 3.


d=sqrt%2816%2B%283%29%5E2%29 Square 4 to get 16.


d=sqrt%2816%2B9%29 Square 3 to get 9.


d=sqrt%2825%29 Add 16 to 9 to get 25.


d=5 Take the square root of 25 to get 5.


So our answer is d=5


So the distance between the two points and is 5 units.