Question 825633
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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((x[2]-x[1])^2+(y[2]-y[1])^2)}}}

Substitute 4 for {{{x[1]}}}, 7 for {{{y[1]}}}, 1 for {{{x[2]}}}, and 11 for {{{y[2]}}}. Simplify.

{{{D=sqrt((1-4)^2+(11-7)^2)}}}
{{{D=sqrt((-3)^2+(4)^2)}}}
{{{D=sqrt(9+16)}}}
{{{D=sqrt(25)}}}
{{{D=5}}}

The length of the line segment is 5 units.

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