Question

Find the midpoint of the line segment joining the points ​(10​,7​) and ​(negative 2​,negative 7​).

Answer 1

The midpoint of the line segment joining the points ​(10​,7​) and ​(negative 2​,negative 7​) is (4, 0)

Solution:

Given that line segment joining the points ​(10​,7​) and ​(negative 2​, negative 7​)

Thus the two points are ​(10​, 7​) and (-2, -7)

The midpoint of two points $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$M(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

$\text {Here } x_{1}=10 \text { and } y_{1}=7 \text { and } x_{2}=-2 \text { and } y_{2}=-7$

Substituting the values in formula, we get

$\begin{array}{l}{M(x, y)=\left(\frac{10+(-2)}{2}, \frac{7+(-7)}{2}\right)} \\\\ {M(x, y)=\left(\frac{10-2}{2}, \frac{7-7}{2}\right)} \\\\ {M(x, y)=(4,0)}\end{array}$

Thus the midpoint of line segment is (4, 0)