Respuesta :

Gien: The points A and B with coordinate below

[tex]\begin{gathered} A(10,6) \\ B(2,8) \end{gathered}[/tex]

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

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

Therefore

[tex]Mid-pointAB)=(\frac{10+2}{2},\frac{6+8}{2})[/tex][tex]Mid-point(AB)=(\frac{12}{2},\frac{14}{2})=(6,7)[/tex]

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