How do you find the midpoint of the line segment joining (2,8) and (4,6)?

Jun 25, 2016

(3 ,7)

Explanation:

To find the mid-point of 2 given points $\left({x}_{1} , {y}_{1}\right) \text{ and } \left({x}_{2} , {y}_{2}\right)$

use the $\textcolor{b l u e}{\text{mid-point formula}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\left(\frac{1}{2} \left({x}_{1} + {x}_{2}\right) , \frac{1}{2} \left({y}_{1} + {y}_{2}\right)\right)} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

let (x_1,y_1)=((2,8)" and " (x_2,y_2)=(4,6)

$\Rightarrow \text{ mid-point } = \left(\frac{1}{2} \left(2 + 4\right) , \frac{1}{2} \left(8 + 6\right)\right) = \left(3 , 7\right)$