contestada

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

Respuesta :

Answer:

coordinates of the Midpoint = (7 ,4).

Step-by-step 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 :

[tex](\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex].

Here,

Md point =[tex](\frac{10 +4}{2} , \frac{1+7}{2} )[/tex].

Mid point = [tex](\frac{14}{2} , \frac{8}{2} )[/tex].

( 7 ,4)

coordinates of the Midpoint = (7 ,4).

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

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)