SOLUTION: Can you help me solve this problem please. The length of the line segment that joins two points whose coordinates are (4,-1) and (7,5) is

Algebra ->  Length-and-distance -> SOLUTION: Can you help me solve this problem please. The length of the line segment that joins two points whose coordinates are (4,-1) and (7,5) is      Log On


   

Question 390001: Can you help me solve this problem please.
The length of the line segment that joins two points whose coordinates are (4,-1) and (7,5) is
Found 2 solutions by jim_thompson5910, josmiceli:
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=4 and y%5B1%5D=-1.
Also, is the second point . So this means that x%5B2%5D=7 and y%5B2%5D=5.


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%284-7%29%5E2%2B%28-1-5%29%5E2%29 Plug in x%5B1%5D=4, x%5B2%5D=7, y%5B1%5D=-1, and y%5B2%5D=5.


d=sqrt%28%28-3%29%5E2%2B%28-1-5%29%5E2%29 Subtract 7 from 4 to get -3.


d=sqrt%28%28-3%29%5E2%2B%28-6%29%5E2%29 Subtract 5 from -1 to get -6.


d=sqrt%289%2B%28-6%29%5E2%29 Square -3 to get 9.


d=sqrt%289%2B36%29 Square -6 to get 36.


d=sqrt%2845%29 Add 9 to 36 to get 45.


d=3%2Asqrt%285%29 Simplify the square root.


So our answer is d=3%2Asqrt%285%29


Which approximates to d=6.708


So the distance between the two points is approximately 6.708 units.


So the length of the line segment is approximately 6.708 units.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
l = sqrt%28%287+-+4%29%5E2+%2B+%285+-%28-1%29%29%5E2%29
l = sqrt%283%5E2+%2B+6%5E2%29
l = sqrt%289++%2B+36%29
l = sqrt%2845%29
l = 3%2Asqrt%285%29