Answer:
The correct option is C.
Explanation:
The given points are (17,1) and (−2,8).
We need to find the midpoint of given points.
Formula for midpoint :
![Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2))](https://img.qammunity.org/2020/formulas/mathematics/high-school/nwxxwi2mir9e3arj0zm8u8mggb0hs4arlz.png)
The midpoint of the segment between the points (17,1) and (−2,8) is
![Midpoint=((17+(-2))/(2),(1+8)/(2))](https://img.qammunity.org/2020/formulas/mathematics/high-school/b1jrl37nldnqp53srzllreq15y29bnq6vn.png)
![Midpoint=((15)/(2),(9)/(2))](https://img.qammunity.org/2020/formulas/mathematics/high-school/qt141b551o9ofd8gruvrgurs4qy3lxa5g4.png)
The midpoint of the segment between the points (17,1) and (−2,8) is
![((15)/(2),(9)/(2))](https://img.qammunity.org/2020/formulas/mathematics/high-school/s49yc8agng067riou5zp142zpcy3vzj5vd.png)
Therefore the correct option is C.