Question

Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).

1. (2,1)
2. (5,9)
3. (11, 12)

Answer 1

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of end points of line segment then the coordinates of mid-point are

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

∴ Coordinates of mid-point of line segment joining the points          (3, 10) and (7, 8) are

$(\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)$

Hence, option 2 is correct.

Answer 2

Answer:

The midpoint of line segment is (5,9).

Step-by-step explanation:

Given : Line segment whose endpoints are (3, 10) and (7, 8).

To find : Find the midpoint of the line segment .

Solution : We have given that endpoints  (3, 10) and (7, 8).

By the midpoint segment formula :

     Midpoint :

($\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$).

Here, the coordinate of $x_{1}$ = 3 ,   $x_{2}$ = 7 ,

                                      $y_{1}$ = 10 ,      $y_{2}$ = 8 ,

Plugging values in formula ,

Midpoint =($\frac{3+7}{2}$ , $\frac{10+8}{2}$).

Midpoint =($\frac{10}{2}$ , $\frac{18}{2}$).

Midpoint = (5 , 9).

Therefore, the midpoint of line segment is (5,9).