SOLUTION: A line segment has endpoints (4,7) and (1,11). What is the length of the segment?

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Question 825633: A line segment has endpoints (4,7) and (1,11). What is the length of the segment?
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

THE PROBLEM:
A line segment has endpoints (4,7) and (1,11). What is the length of the segment?

A SOLUTION:
Use the distance formula to find the length of the line segment. 

D=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29

Substitute 4 for x%5B1%5D, 7 for y%5B1%5D, 1 for x%5B2%5D, and 11 for y%5B2%5D. Simplify.

D=sqrt%28%281-4%29%5E2%2B%2811-7%29%5E2%29
D=sqrt%28%28-3%29%5E2%2B%284%29%5E2%29
D=sqrt%289%2B16%29
D=sqrt%2825%29
D=5

The length of the line segment is 5 units.

Hope this helps!
Mrs. Figgy
math.in.the.vortex@gmail.com