Answer:
We conclude that the midpoint of the segment is:
- [tex]\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]
Hence, option D is correct.
Step-by-step explanation:
Given the points
Finding the midpoint of the segment using the formula
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-1\right)[/tex]
so
[tex]=\left(\frac{-6-3}{2},\:\frac{-1+4}{2}\right)[/tex]
[tex]=\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]
Therefore, we conclude that the midpoint of the segment is:
- [tex]\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]
Hence, option D is correct.
