Question

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

Answer 1

`(3,6)`

Step-by-step explanation

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

the midpoint is given by:

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

therefore, the midpoint is

`(3,6)`

I hope this helps you