Question

What is the midpoint of the line segment with endpoints ( 3.5,2.2) and (1.5,-4.8)?

A.(2.5,-1.3)
B.(5,-2.6)
C.(2.5,-2.6)
D.(5,-1.3)

Answer 1

Option A) (2.5,-1.3) is correct

The midpoint of the given line segment is M=(2.5,-1.3)

Explanation:

Given that the line segment with end points (3.5, 2.2) and (1.5, -4.8)

To find the mid point of these endpoints midpoint formula is
`M=\left((x_1+x_2)/(2), (y_1+y_2)/(2)\right)`

Let (
`x_1,y_1`) be the point (3.5, 2.2) and (
`x_2, y_2`) be the point (1.5, -4.8)

substituting the points in the formula

`M=\left((x_1+x_2)/(2), (y_1+y_2)/(2)\right)`

`M=\left((3.5+1.5)/(2), (2.2-4.8)/(2)\right)`

`=\left((5)/(2), (-2.6)/(2)\right)`

`=\left(2.5,-1.3\right)`

Therefore M=(2.5,-1.3)

The midpoint of the given line segment is M=(2.5,-1.3)