Question

Find the midpoint M of the line segment joining the points C=(8,7) and D= (4,-5)

Answer 1

Explanation

We are told to find the midpoint of the line segment. To do so, we will use the formula:

$midpoint=\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}$

In our case

$\begin{gathered} x_1=8,y_1=7 \\ x_2=4,y_2=-5 \end{gathered}$

Substituting the values above

$\begin{gathered} Midpoint=\frac{8+4}{2},\frac{7-5}{2} \\ \\ Midpoint=\frac{12}{2},\frac{2}{2} \\ \\ Midpoint=(6,1) \end{gathered}$

Thus, the midpoint is (6,1)