Question

What is the midpoint of line segment EF if E (-5,-1) and F (17,-9)?

Answer 1

STEP 1:

The formula for the midpoint of a line segment

`\text{midpoint =(}\frac{x_{1\text{ }}+x_2}{2}),\text{ (}(y_1+y_2)/(2))`

STEP 2:

We substitute the following information in the formular.

`\begin{gathered} x_1=\text{ -5} \\ x_2=\text{ 17} \\ y_1=\text{ -1} \\ y_2=\text{ -9} \end{gathered}`
`\begin{gathered} \text{midpoint = (}(-5+17)/(2)\text{),(}(-1+(-9))/(2)\text{)} \\ \text{midpoint =(}(12)/(2)\text{),(}(-10)/(2)\text{)} \\ \text{midpoint = 6,-5} \end{gathered}`

In conclusion, midpoint is 6,-5