Question

13) Find the coordinate of the midpoint of the line joining the points (3,8) ​

Answer 1

Answer:

We know that the mid point formula M=(x,y) of the two points (x

1

,y

1

) and (x

2

,y

2

) is:

(x,y)=(

2

x

1

+x

2

,

2

y

1

+y

2

)

Here, the given points are (−3,10) and (6,−8), therefore,

(x,y)=(

2

x

1

+x

2

,

2

y

1

+y

2

)

⇒(x,y)=(

2

−3+6

,

2

10+(−8)

)

⇒(x,y)=(

2

3

,

2

10−8

)

⇒(x,y)=(

2

3

,

2

2

)

⇒(x,y)=(

2

3

,1)

Hence, the coordinates of the mid point are (

2

3

,1).