Linear Functions And Their Slope Worksheet Page 20

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Lesson 10: Distance, Midpoint and Circles
Distance Formula (Derivation)
Distance Formula
The ____________________,
d
, between two
point
A x y
( , )
to
B x y
( , )
can be found by:
1
1
2
2
 
d 
2
2
Note that the distance is a ___________.
Examples: Find the distance between the following pairs of points
   
 
5,1 , 8,5
4,1 , 2, 3
Midpoint Formula
Midpoint Formula (Derivation)
The ______________________ of a line segment ,
from
A x y
( , )
to
B x y
( , )
can be found by the
1
1
2
2
formula:
,
Note that the midpoint is a ___________, so the
answer should be written as an
__________________.
Examples: Find the midpoint between the following pairs of points
 
 
 
 
4, 7 ,
1, 3
7 3, 6 , 3 3, 2
Unit 3 Page 20 of 23

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