Question

Find the midpoint of the segment below and enter its coordinates as anordered pair. If necessary, express coordinates as fractions, using the slashmark ( ) for the fraction bar.

Answer 1

To find the coodinates of the midpoint (x,y) we use the following formula:

$\begin{gathered} x=\frac{x_1+x_2}{2} \\ y=\frac{y_1+y_2}{2} \end{gathered}$

Susbtituting

$\begin{gathered} x_1=-4 \\ x_2=4 \\ y_1=6 \\ y_2=-2 \end{gathered}$

we get:

$\begin{gathered} x=0 \\ y=2 \end{gathered}$

Finally, the coordinates of the midpoint are (0,2).