Question

Find the coordinates of the midpoint of the segment whose endpoints are H(10, 1) and K(4, 7).

Answer 1

Answer: Hello there!

we have the points H(10,1) and K(4, 7)

first, the x values are 10 and 4, and the difference between them is:

10 - 4 = 6

if we split the difference into two, we get the distance from both points to the midpoint:

(10 - 4)/2 = 3

So the midpoint in x is: 10 - 3 = 4 + 3 = 7

Now let's find the midpoint for y.

the values of y that we have are y = 1 and y = 7, then we need to see:

(7 - 1)/2 = 6/2 = 3

and the midpoint in y is: 7 - 3 = 1 + 3 = 4

then the mid point between H(10, 1) and K(4, 7) is x = 7 and y = 4, wich is written as (7, 4)

Answer 2

coordinates of the Midpoint = (7 ,4).

Explanation:

Given : endpoints are H(10, 1) and K(4, 7).

To find :Find the coordinates of the midpoint .

Solution : We have given that endpoints are H(10, 1) and K(4, 7).

By the mid point segment formula :

`((x_(1) +x_(2) )/(2) , (y_(1) +y_(2) )/(2) )`.

Here,

Md point =
`((10 +4)/(2) , (1+7)/(2) )`.

Mid point =
`((14)/(2) , (8)/(2) )`.

( 7 ,4)

coordinates of the Midpoint = (7 ,4).

Therefore, coordinates of the Midpoint = (7 ,4).