Question

Find the midpoint of the line segment with end coordinates of:
(
−
2
,
−
4
)
and
(
−
1
,
−
5
)

Answer 1

Given,

The line segment with end coordinates of (-2,-4) and (-1,-5).

To find,

The midpoint of the line segment.

Solution,

Midpoint divides the line segment into two halves.

• Here, let us suppose that AB is a line segment with end vertices A and B.

• Then, the coordinates of A would be (-2,-4).

• Similarly, the coordinates of B would be (-1,-5).

• The midpoint M of the line segment AB would be $\frac{x1+x2}{2}$, and $\frac{y1+y2}{2}$ respectively.

• Here, x1 = -2, x2= -1, y1= -4 and y2=-5.

• So, the x coordinate of midpoint M would be $\frac{-2+(-1)}{2}$⇒-1.5.

• Similarly y coordinate of Midpoint M would be $\frac{-4+(-5)}{2}$⇒-4.5.

The midpoint of the line segment with end coordinates (-2,-4) and (-1,-5) would be (-1,5,-4.5)