Question

Find the midpoint ofvthe segment with the following endpoints. (5,3) and (1,9)

Answer 1

$(3,6)$

Explanation

the midpoint, As the word sounds, "midpoint" means "the point in the middle"

the midpoint is given by:

$\begin{gathered} m_{AB}=(\frac{x_1+x_2}{2},\frac{y_1+y_2_{}}{2}) \\ where\text{ } \\ A(x_1,y_1)andB(x_2,y_2)\text{ are the endpoints} \end{gathered}$

the

Step 1

let

$\begin{gathered} A=(5,3) \\ B=(1,9) \end{gathered}$

now, replace in the formula

$\begin{gathered} m_{AB}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ m_{AB}=(\frac{5+1}{2},\frac{3+9}{2}) \\ m_{AB}=(\frac{6}{2},\frac{12}{2}) \\ m_{AB}=(3,6) \end{gathered}$

therefore, the midpoint is

$(3,6)$

I hope this helps you