Question

Find the midpoint of the line segment with the end coordinates of (2,0) and (8,8)

Answer 1

Answer:

(5 , 4)

Step-by-step explanation:

Given,

Co-ordinates of a point :-

A = (2 , 0)

B = (8 , 8)

To Find :-

Mid point of the line segment

How To Do :-

We need to find the mid-point of the line segment by using the Mid-point formula and we need to substitute the values of the co-ordinates in the mid-point formula.

Formula Required :-

Mid - point formula :-

$=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Solution :-

A = (2 , 0)

Let,

x₁ = 2 , y₁ = 0

B = (8 , 8)

Let,

x₂ = 8 , y₂ = 8

Mid-point :-

$Mid-point=\left(\dfrac{2+8}{2},\dfrac{0+8}{2}\right)$

$=\left(\dfrac{10}{2},\dfrac{8}{2}\right)$

= (5 , 4)

∴ Mid - point = (5 , 4).