Answer:
The answer is
![( - 5 \: , \: - 7)](https://img.qammunity.org/2021/formulas/mathematics/college/qeq1zdwvlgw3st9kmyyq5ehyp05wtfpd8f.png)
Explanation:
The midpoint M of two endpoints of a given line segment can be found by using the formula
![M = ( (x1 + x2)/(2) , \: (y1 + y2)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/x36jynvn72lt9s56attye691z68vqunwvx.png)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-9, -5) and (-1, -9)
The midpoint M is
![M = ( ( - 9 - 1)/(2) , \: ( - 5 - 9)/(2) ) \\ = ( - (10)/(2) , \: - (14)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/college/8jpn5g3m1j6fdplgsy9b4ep8k1of1mtpo2.png)
We have the final answer as
![( - 5 \: , \: - 7)](https://img.qammunity.org/2021/formulas/mathematics/college/qeq1zdwvlgw3st9kmyyq5ehyp05wtfpd8f.png)
Hope this helps you