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((x_(1)+x_(2))/(2), (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((10+(-2))/(2), (7+(-7))/(2)\right)} \\\\ {M(x, y)=\left((10-2)/(2), (7-7)/(2)\right)} \\\\ {M(x, y)=(4,0)}\end{array}`

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