Midpoint Formula

$\fcolorbox{#00BFFF}{white}{$M=\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right)$}$\fcolorbox{#00BFFF}{white}{$M=\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right)$}$$$$ \left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right) \; . $$

Goal:

How to find the midpoint of a line segment using the midpoint formula.

Definition:

Midpoint = the point that is halfway between the two endpoints of a line segment.

A = endpoint

B = endpoint

M = midpoint

Each of the above points will have coordinates of $(x,y)$

Example:

A = $(-3, -2)$(-3, -2)

B = $(7,4)$(7,4)

M = _____

Steps:

To find the midpoint, first add the two x-values and divide by 2 and then add the two y-values and divide by 2.

$\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right)$

$M\; =\; (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$\left( \dfrac{-3+7}{2} , \dfrac{-2+4}{2} \right)$

$\left( \dfrac{4}{2} , \dfrac{2}{2} \right)$

$\colorbox{aqua}{$M={(2,1)}$}$\colorbox{aqua}{$M={(2,1)}$}

$\colorbox{aqua}{(2,1)}$

$(2, 1)$

(2, 1)

By: edbee team

Sept. 4, 2020