Question

What is the midpoint of the segment shown below?

Answer 1

Answer:

D. (-7/2, 3/2)

Step-by-step explanation:

x = (-6+(-1))/2 = -7/2

y = (-2+5)/2 = 3/2

Answer 2

Answer:  D.

$(\dfrac{-7}{2},\ \dfrac{3}{2})$

Step-by-step explanation:

The coordinates of mid point (x,y) of a line joining points $(x_1 , y_1)$ and $(x_2, y_2)$ is given by :-

$x=\dfrac{x_1+x_2}{2},\ y=\dfrac{y_1+y_2}{2}$

From the given graph , we can see that the line is joining two points (-6,-2) and (-1,5) .

Then, the mid point of the line is given by :-

$x=\dfrac{-6+(-1)}{2},\ y=\dfrac{-2+5}{2}$

$x=\dfrac{-6-1}{2},\ y=\dfrac{5-2}{2}$

$x=\dfrac{-7}{2},\ y=\dfrac{3}{2}$

Hence, the midpoint of the given segment = $(\dfrac{-7}{2},\ \dfrac{3}{2})$