Find the mid point of the line segment joining the points $( -5,\ 7)$ and $( -1,\ 3)$.

Given: A line segment joining the points $( -5,\ 7)$ and $( -1,\ 3)$.

To do: To find the mid point of the line segment joining the points $( -5,\ 7)$ and $( -1,\ 3)$.
 

Solution: 

Given points $( -5,\ 7)$ and $( -1,\ 3)$

Here, $x_1=-5,\ x_2=-1,\ y_1=7$ and $y_2=3$

Therefore, mid-point of the line segment $P(x,\ y)=(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2})$

$\Rightarrow P( x,\ y)=( \frac{-5-1}{2},\ \frac{7+3}{2})$

$\Rightarrow P( x,\ y)=( \frac{-6}{2},\ \frac{10}{2})$

$\Rightarrow P( x,\ y)=( -3,\ 5)$

Thus, the mid-point of the given line segment $( -3,\ 5)$.

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Updated on: 10-Oct-2022

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