Question

Determine the midpoint of the segment with endpoints (-10,-11) and (8,-17)

Answer 1

mid point segment ( -1, -14).

Step-by-step explanation:

Given : endpoints (-10,-11) and (8,-17)

To find : Determine the midpoint of the segment .

Solution : We have given that endpoints (-10,-11) and (8,-17)

Mid point segment formula :
`( (x_(1)+x_(2))/(2) ,(y_(1)+y_(2))/(2) )`.

Here,
`x_(1)` = -10 ,
`x_(2)` = 8 ,
`y_(1)` = -11 ,
`y_(2)` = -17.

Plugging the above values in mid point segment formula.

`( ((-10)+8)/(2) ,((-11)+(-17))/(2) )`.

`( (-2)/(2) ,(-28)/(2) )`.

( -1, -14)

Therefore, mid point segment ( -1, -14).

Answer 2

The correct answer is:
(-1, -14).

Step-by-step explanation:
The way to find a midpoint is by taking the average of each coordinate.

Since the x values are -10 and 8, the average would be -1:

`(-10+8)/(2)` = -1.

Since the y values are -11 and -17, the average would be -14:

`(-11+-17)/(2)` = -14.

Therefore the ordered pair is (-1, -14)