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:

$x=\frac{x_1+x_2}{2}=\frac{\frac{7}{3}+(\frac{-1}{3})}{2}=\frac{6}{3}\cdot\frac{1}{2}=\frac{6}{6}=1$

and for y:

$y=\frac{y_1+y_2}{2}=\frac{\frac{5}{9}+\frac{7}{9}}{2}=\frac{12}{9}\cdot\frac{1}{2}=\frac{12}{18}=\frac{2}{3}$

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