SOLUTION: Is the distance between the points (-2,1) and (6,7) 45? Please show your work, thank you so much!

Algebra ->  Linear-equations -> SOLUTION: Is the distance between the points (-2,1) and (6,7) 45? Please show your work, thank you so much!       Log On


   

Question 195132: Is the distance between the points (-2,1) and (6,7) 45? Please show your work, thank you so much!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hmm...45 seems like a very long distance. If you plot the points and use the grid, you'll quickly find that 45 is way too big...




Here's how you'd find the distance:


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%28-2-6%29%5E2%2B%281-7%29%5E2%29 Plug in x%5B1%5D=-2, x%5B2%5D=6, y%5B1%5D=1, and y%5B2%5D=7.


d=sqrt%28%28-8%29%5E2%2B%281-7%29%5E2%29 Subtract 6 from -2 to get -8.


d=sqrt%28%28-8%29%5E2%2B%28-6%29%5E2%29 Subtract 7 from 1 to get -6.


d=sqrt%2864%2B%28-6%29%5E2%29 Square -8 to get 64.


d=sqrt%2864%2B36%29 Square -6 to get 36.


d=sqrt%28100%29 Add 64 to 36 to get 100.


d=10 Take the square root of 100 to get 10.


So our answer is d=10


So the distance between the two points (-2,1) and (6,7) is 10 units.