Question

find the distance between two points (4,) and (-2,-4). Also find the co-ordinate of the midpoint of the line segment joining the two given points​

Answer 1

If the end points of a line segment is (2,4) and (4,6), then the midpoint of the line segment has the coordinates:

(

2

2+4

,

2

4+6

)=(

2

6

,

2

10

)=(3,5)

Now we find the distance between the points (−1,−3) and (3,5) as follows:

D=

(3−(−1))

2

+(5−(−3))

2

=

4

2

+8

2

=

16+64

=

80

=4

5

Hence, the distance is 4

5