Respuesta :

Answer:

Mid point of the given end points = [tex](\frac{-2}{5},\frac{1}{16} )[/tex]

Step-by-step explanation:

Given the end points of the line segment are :

(0, [tex]\frac{1}{8}[/tex]) & ([tex]\frac{-4}{5}[/tex],0)

We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)

mid point = [tex](\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )[/tex]

now put the value of x₁ = 0

x₂ = [tex]\frac{-4}{5}[/tex]

y₁ = [tex]\frac{1}{8}[/tex]

y₂ = 0

mid point = [tex](\frac{0-\frac{4}{5} }{2},\frac{\frac{1}{8}+0 }{2})[/tex]

                = [tex](\frac{-2}{5},\frac{1}{16} )[/tex]

That's the final answer.