Find the mid point of the line segment joining the points $( 0,\ 0)$ and $( -2,\ -4)$.
Given: A line segment joining the points $( 0,\ 0)$ and $( -2,\ -4).
To do: To find the mid point of the line segment.
Solution:
Given points of the line segment are: $( 0,\ 0)$ and $( -2,\ -4)
Here $x_1=0,\ y_1=0,\ x_2=-2$ and $y_2=4$.
Therefore, mid-point of the line segment $P=( \frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2})$
$\Rightarrow P=( \frac{0-2}{2},\ \frac{0+4}{2})$
$\Rightarrow P=( \frac{-2}{2},\ \frac{4}{2})$
$\Rightarrow P=( -1,\ 2)$
Thus, the mid-point of the line segment is $( -1,\ 2)$.
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