Question

What is the midpoint of the segment shown below? ​

Answer 1

Answer:

We conclude that the midpoint of the segment is:

• $\left(-\frac{9}{2},\:\frac{3}{2}\right)$

Hence, option D is correct.

Step-by-step explanation:

Given the points

• (-6, -1)

• (-3, 4)

Finding the midpoint of the segment using the formula

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-1\right)$

so

$=\left(\frac{-6-3}{2},\:\frac{-1+4}{2}\right)$

$=\left(-\frac{9}{2},\:\frac{3}{2}\right)$

Therefore, we conclude that the midpoint of the segment is:

• $\left(-\frac{9}{2},\:\frac{3}{2}\right)$

Hence, option D is correct.