Question

The coordinate of mid point joining the line segment of points (6, 8) and (2, 4) will be​

Answer 1

6=2

8=4

x=6/2

x=3

y=8/4

y=2

(3,2)

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Answer 2

Given :

Given, two points (6,8) and (2,4) on a line segment.

To find :

We have to find the co-ordinate of mid-point of the line segment of the given points.

Solution :

Let the unknown co-ordinates of the midpoint of the line segment joining (6,8) and (2,4) be a and b.

$\bigstar \: \: (a,b)= (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2} ) \: \: \bigstar$

Here,

• $x_1 = 6$

• $x_2=2$

• $y_1=8$

• $y_2=4$

$:\implies (a,b)=( \dfrac{6 + 2}{2} , \dfrac{8 + 4}{2} )$

$:\implies (a,b)=( \dfrac{8}{2} , \dfrac{12}{2} )$

$:\implies (a,b)=(4,6)$

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Therefore, the coordinate of mid-point joining the line segment of points (6,8) and (2,4) is (4,6).