Question

Find the midpoint of the line segment with the endpoints A and B.A(10,6); B(2,8)

Answer 1

Gien: The points A and B with coordinate below

`\begin{gathered} A(10,6) \\ B(2,8) \end{gathered}`

To Determine: The mid point of the given points

Solution

The genral formula for finding the mid term given two points is as shown below

`\begin{gathered} Point1(x_1,y_1) \\ Point2(x_2,y_2) \\ Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2)) \end{gathered}`

Therefore

`Mid-pointAB)=((10+2)/(2),(6+8)/(2))`
`Mid-point(AB)=((12)/(2),(14)/(2))=(6,7)`

Hence, the mid point of the given point A and B is (6, 7)