Question

Find the midpoint of the line segment with the following endpoints.P1: (7/3,5/9)P2: (-1/3,7/9The midpoint of line segment P1P2 is:(Simplify your answer. Type an ordered pair.)

Answer 1

We can calculate the coordinates of a midpoint between two points as the average of the coordinates of this points.

Then, it can be written for x as:

`x=(x_1+x_2)/(2)=((7)/(3)+((-1)/(3)))/(2)=(6)/(3)\cdot(1)/(2)=(6)/(6)=1`

and for y:

`y=(y_1+y_2)/(2)=((5)/(9)+(7)/(9))/(2)=(12)/(9)\cdot(1)/(2)=(12)/(18)=(2)/(3)`

The midpoint is (x,y) = (1, 2/3)