Question

Find the midpoint of the segment with the following endpoints.(4,5) and (9, 2)

Answer 1

Answer: (6.5, 3.5)

Step-by-step explanation:

The midpoint between two points can be found by taking the mean of the x coordinates, and the mean of the y coordinates.

The points we have are:

(4, 5) where we will call

`x_1=4,y_1=5`

and also the point

(9, 2) where we will call

`x_2=9,y_2=2`

Now, the midpoint will be at

`(x_m,y_m)`

Where xm is the mean of the x coordinates, and ym is the mean of the y coordinates:

`x_m=(x_1+x_2)/(2)`

subtituting the values:

`x_m=(4+9)/(2)=(13)/(2)=6.5`

we have xm, now we need ym:

`y_m=(y_1+y_2)/(2)`

Substituting the values

`y_m=(5+2)/(2)=(7)/(2)=3.5`

Thus, the midpoint is at:

`(x_m,y_m)=(6.5,3.5)`