Question

The mid point of the line segment joining A ( 3 , -7 ) and B ( 5 , -5 ) is :
(a) ( 3 , 7 )
(b) ( 3 , -5 )
(c) ( 4 , -6 )
(d) ( 4 , -7 )
​

Answer 1

Step-by-step explanation:

A(3,-7) & B(5,-5)

then middle point M = ( (3+5)/2 , (-7-5)/2 ) = (4,-6)

Answer 2

The mid point of the line segment joining A ( 3 , -7 ) and B ( 5 , -5 ) is ( 4 , - 6 )

Given :

The points A ( 3 , -7 ) and B ( 5 , -5 )

To find :

The mid point of the line segment joining A ( 3 , -7 ) and B ( 5 , -5 ) is

(a) ( 3 , 7 )

(b) ( 3 , - 5 )

(c) ( 4 , - 6 )

(d) ( 4 , - 7 )

Formula :

For the given two points ( x₁ , y₁) & (x₂ , y₂)

The midpoint of the line AB is

$\displaystyle \sf{ \bigg( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} \bigg)}$

Solution :

Step 1 of 2 :

Write down the given points

Here the given points A ( 3 , -7 ) and B ( 5 , -5 )

Step 2 of 2 :

Find the midpoint

The mid point of the line segment joining A ( 3 , -7 ) and B ( 5 , -5 )

$\displaystyle \sf{ = \bigg( \frac{3 + 5}{2} , \frac{ - 7 - 5}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{8}{2} , \frac{ - 12}{2} \bigg)}$

= ( 4 , - 6)

Hence the correct option is (c) ( 4 , - 6 )

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