Question

The midpoint of a line segment is (-4,-2). If (-6,4) is one end then the other end is​

Answer 1

Answer:

by midpoint theorem :

x=-4+(-6)/2 , y=-2+4/2

x=-5 and y=2

Answer 2

Step-by-step explanation:

co-ordinate of the mid point of a line segment whose end points are (x

1

,y

)

and (x

2

,y

2

) are given by (

2

x

1

+x

2

,

2

y

1

+y

2

)

Substituting (x

1

,y

1

)=(−6,4) and mid-point (−4,−2).

⇒(−4,−2)=(

2

−6+x

2

,

2

4+y

2

)

Equating the x−coordinates

⇒−4=

2

−6+x

2

⇒−4×2=−6+x

2

⇒x

2

=6−8

⇒x

2

=−2

Equating the y−coordinates

⇒−2=

2

4+y

2

⇒−2×2=4+y

2

⇒−y

2

=4+4

⇒y

2

=−8

The coordinates of the other end are (−2,−8).