Question

What are the coordinates of the midpoint of the segment whose endpoints are A(−1, −2) and B(6, 12) ? Enter your answer, as decimals, in the boxes. ( , )

Answer 1

`M(2(1)/(2), 5)`

Explanation:

Find the range of each of the corresponding coordinates, half it, then travel that distance forward from the initial pair:

y: Between −2 and 12 → 14, ½[14] >> 7; −2 + 7 = 5

x: Between −1 and 6 → 7, ½[7] >> 3½; −1 + 3½ = 2½

I am joyous to assist you anytime.

* Decimals: [2,5, 5]

Answer 2

`(x,y)=(5)/(2),5` is the mid-point of given line segment.

Explanation:

We have been given the coordinates of End points

To find the midpoint of the segment we will use mid point formula which is:

`(x,y)=(x_1+x_2)/(2),(y_1+y_2)/(2)`

We have given
`x_1=-1,x_2=6,y_1=-2,y_2=12`

Substituting the values in the formula we get:

`(x,y)=(-1+6)/(2),(-2+12)/(2)`

After simplification we get:

`(x,y)=(5)/(2),5`