Question

Find the coordinates of the midpoint of AB if A(-5, 9) and B(9,7).The coordinates of the midpoint of AB are

Answer 1

(2,8)

Step-by-step explanation

Step 1

to find the midpoint use:

`\text{midpoint}=\lbrack\frac{x_1+x_(_2)_{}_{}}{2},\text{ }(y_1+y_2)/(2)\rbrack`

where

`(x_1,y_1)and(x_2,y_2)\text{ are the coordinates of the known points}`

Step 2

Let

`\begin{gathered} P1=(x_1,y_1)=\text{ A(-5,9)} \\ P2=(x_2,y_2)=\text{ B(9,7)} \\ \end{gathered}`

Step 3

replace

`\begin{gathered} \text{midpoint}=\lbrack(-5+9)/(2),\text{ }(9+7)/(2)\rbrack \\ \text{midpoint}=\lbrack(x_1+x_2)/(2),\text{ }(y_1+y_2)/(2)\rbrack \\ \text{midpoint}=\lbrack2,8\rbrack \end{gathered}`