Answer:
Mid point of the given end points =
![((-2)/(5),(1)/(16) )](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8um5ygp7aw02eb6ewbmhmgs6no7344wlac.png)
Explanation:
Given the end points of the line segment are :
(0,
) & (
,0)
We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)
mid point =
![((x_(1) +x_(2) )/(2),(y_(1) +y_(2) )/(2) )](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sw724jmhxwm8jpzi2o6652wfqzul95kdtd.png)
now put the value of x₁ = 0
x₂ =
![(-4)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9dnzyw531v1qwt9ttb40x8khlv658u2i44.png)
y₁ =
![(1)/(8)](https://img.qammunity.org/2020/formulas/mathematics/college/oishxf3znbtm7sgua7hx3bnp2grk4mwmno.png)
y₂ = 0
mid point =
![((0-(4)/(5) )/(2),((1)/(8)+0 )/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l8lsh3aib03fmcobiwzzbsm2wa6w0t67jr.png)
=
![((-2)/(5),(1)/(16) )](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8um5ygp7aw02eb6ewbmhmgs6no7344wlac.png)
That's the final answer.