Question

Find the midpoint of the segment with the following endpoint
(−4,−4) and (−9,5)

Answer 1

The midpoint of the segment with the following endpoint (−4,−4) and (−9,5) is
`\left((-13)/(2), (1)/(2)\right)`

Solution:

Given, two points are (-4, -4) and (-9, 5)

We have to find the midpoint of the segment formed by the given points.

Now, we know that, mid point of a segment formed by
`\left(\mathrm{x}_(1), \mathrm{y}_(1)\right) \text { and }\left(\mathrm{x}_(2), \mathrm{y}_(2)\right)` is given by:

`\text { Mid point } m=\left((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)\right)`

`\text { Here in our problem, } x_(1)=-4, y_(1)=-4, x_(2)=-9 \text { and } y_(2)=5`

`\text { Then, mid point } m=\left((-4+(-9))/(2), (-4+5)/(2)\right)=\left((-4-9)/(2), (-4+5)/(2)\right)=\left((-13)/(2), (1)/(2)\right)`

Hence, the mid point of the segment is
`\left((-13)/(2), (1)/(2)\right)`