Question

Find the coordinates of the midpoint of the line segment joining the point A(-5 , 4) and B(7 ,-8).

Answer 1

Answer:

(1,-2)

Step-by-step explanation:

Given : A(x_1,y_1) =(-5,4)A(x

1

,y

1

)=(−5,4)

B(x_2,y_2) =(7,-8)B(x

2

,y

2

)=(7,−8)

To find coordinates of mid point i.e.(x,y) on line AB

we will use formula:

x=\frac{x_1+x_2}{2}x=

2

x

1

+x

2

x=\frac{-5+7}{2}x=

2

−5+7

x=\frac{2}{2}x=

2

2

⇒x=1

y=\frac{y_1+y_2}{2}y=

2

y

1

+y

2

y=\frac{4-8}{2}y=

2

4−8

y=\frac{-4}{2}y=

2

−4

y=-2y=−2

So, coordinate of mid point is (1,-2)