Section 2.1
Cartesian Plane, Distance, and Midpoint
The distance between two points can be found by using the distance formula with the endpoints and
( ),x y1 1
( ),x y2 2
),( 11 yx ),( 22 yx
212
212 yyxxd
Find the distance between the points (2,1) and (4,5)
22 5142 d
22 42 d
164 d
20d
52d
Find the distance between (2, -1) and (-3, -6)
22 6132 d
22 55 d
2525 d
50d
25d
Midpoint of a Segment- Midpoint of a segment with endpoints and is given by:
A BM
AM = MB
),( 11 yx ),( 22 yx
2
,2
, 2121 yyxxyx mm
Find the midpoint of (2,3) and (4, 9)
Find the midpoint of (2,-3) and (-4, -6)
2
93,
2
42
2
12,
2
6 4,3
2
63,
2
42
2
9,
2
2
2
9,1
Top Related