Answer :
Answer:
the midpoint of segment is: [tex](\frac{-3}{2},\frac{-1}{2})\\[/tex]
Step-by-step explanation:
We need to find the midpoint of the segment (3,5) and (-6,-6)
Using the midpoint formula:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{y})[/tex]
here x₁ = 3, x₂= -6, y₁=5 and y₂=-6
Putting values and finding the midpoint:
[tex]Midpoint=(\frac{3+(-6)}{2},\frac{5+(-6)}{2})\\Midpoint=(\frac{3-6}{2},\frac{5-6}{2})\\Midpoint=(\frac{-3}{2},\frac{-1}{2})\\[/tex]
So, the midpoint of segment is: [tex](\frac{-3}{2},\frac{-1}{2})\\[/tex]