Question

Find the midpoint of the segment with the following endpoints. (10,-9) and (7,-1)

Answer 1

Answer:

Yes

Step-by-step explanation:

Answer 2

The midpoint of the segment with the following endpoints (10,-9) and (7,-1) is $\left(\frac{17}{2}, -5\right)$

Solution:

Given that, endpoints of a segment are (10, -9) and (7, -1)

Now, we have to find the midpoint of the segment.

We know that, midpoint of a segment with $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ as endpoints is given by $\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

$\text { Here, in our problem, } x_{1}=10, y_{1}=-9, x_{2}=7 \text { and } y_{2}=-1$

Substitute these values in above formula,

$\text { Midpoint of segment }=\left(\frac{10+7}{2}, \frac{-9+(-1)}{2}\right)=\left(\frac{17}{2}, \frac{-10}{2}\right)=\left(\frac{17}{2},-5\right)$

Hence, the midpoint of the segment is $\left(\frac{17}{2}, -5\right)$