Find the mid-point of the line segment joining the points $A ( -2,\ 8)$ and $B ( -6,\ -4)$.

Given: Points $A ( -2,\ 8)$ and $B ( -6,\ -4)$.

To do: To find the mid-point of the line segment joining the points $A ( -2,\ 8)$ and $B ( -6,\ -4)$.

Solution:

Here, $x_1=-2,\ y_1=8,\ x_2=-6,\ y_2=-4$

Using mid-point formula,

Mid-point of the given points, $( x,\ y)=( \frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2})$

$\Rightarrow ( x,\ y)=( \frac{-2-6}{2},\ \frac{-8-4}{2})$

$\Rightarrow ( x,\ y)=( \frac{-8}{2},\ \frac{-12}{2})$

$\Rightarrow ( x,\ y)=( -4,\ -6)$

Thus, $( -4,\ -6)$ is the mid-point of the given points.

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Updated on: 10-Oct-2022

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