Here we want to find the midpoint of a segment that joins (3, 6) and (5, -2).
The midpoint is: (4, 2)
For two general points (x₁, y₁) and (x₂, y₂) the midpoint of the segment that joins these two points is:
[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )[/tex]
Here we have the points (3, 6) and (5, -2), using the above formula we get:
[tex](\frac{3 + 5}{2} , \frac{6 + (-2)}{2} ) = (\frac{8}{2} , \frac{4}{2} ) = (4, 2)[/tex]
Concluding, the midpoint of the segment that joins (3, 6) and (5, -2) is (4, 2)
If you want to learn more, you can read:
https://brainly.com/question/17506315
