Find the midpoint of the line segment with endpoints [tex]P_{1} [\frac{1}{3} ,\frac{5}{9} ][/tex] and [tex]P_{2} [-\frac{11}{3} , \frac{7}{9} ][/tex].


The midpoint of the line segment is __.

Respuesta :

The midpoint of the line segment is: M[-5/3, 2/3].

How to Determine the Midpoint of a Line Segment?

Given the following coordinates of the endpoints of a line segment:

P1 (1/3, 5/9) = (x1, y1)

P2 = (-11/3, 7/9) = (x2, y2)

Plug in the values into the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2)]

M[(-11/3 + 1/3)/2, (7/9 + 5/9)/2)]

M[(-10/3)/2, (12/9)/2)]

M[-10/3 × 1/2, 12/9 × 1/2)]

M[-10/6, 12/18]

Simplify

M[-5/3, 2/3]

Therefore, the midpoint of the line segment is: M[-5/3, 2/3].

Learn more about the midpoint of the line segment on:

https://brainly.com/question/7696289

#SPJ1