Question

Find the midpoint of the line segment with the given endpoints. (5.1,5.71) and (6,3.6).

Answer 1

The coordinates of the midpoint are (5.55,4.655)

Explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:

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

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

We are given the points (5.1 , 5.71) and (6 , 3.6). The coordinates of the midpoint are:

`\displaystyle x_m=(5.1+6)/(2)=(11.1)/(2)=5.55`

`\displaystyle y_m=(5.71+3.6)/(2)=( 9.31)/(2)=4.655`

The coordinates of the midpoint are (5.55,4.655)