Question

What is the midpoint of segment shown below ?

Also, what do they mean by “midpoint of segment”

Answer 1

The midpoint is the middle of the segment, on the segment equidistant from each end.

We compute it by taking the average of the coordinates

`M=\frac 1 2(-3 + -6, 4 + -1) = (- \frac 9 2, \frac 3 2)`

Choice C

Answer 2

Option: C is the correct answer.

C.
`(-(9)/(2),(3)/(2))`

Explanation:

We know that the vertices of the mid point C(x,y) of the line segment AB with vertices as A(a,b) and B(c,d) is given by:

`x=(a+b)/(2),\ and\ y=(c+d)/(2)`

Here we are asked to find the mid point of the line segment joining the point (-6,-1) and (-3,4)

Let C(x,y) be the mid point of this line segment.

Hence, we have:

`x=(-6-3)/(2),\ and\ y=(-1+4)/(2)\\\\i.e.\\\\x=(-9)/(2),\ and\ y=(3)/(2)`

Hence, the mid point has vertex:

`(-(9)/(2),(3)/(2))`