Question

What is the midpoint of the segment shown below?

Answer 1

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

Explanation:

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

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

Answer 2

Answer: D.

`((-7)/(2),\ (3)/(2))`

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=(x_1+x_2)/(2),\ y=(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=(-6+(-1))/(2),\ y=(-2+5)/(2)`

`x=(-6-1)/(2),\ y=(5-2)/(2)`

`x=(-7)/(2),\ y=(3)/(2)`

Hence, the midpoint of the given segment =
`((-7)/(2),\ (3)/(2))`