Answer:
6. Midpoint coordinates = (2,2)
7. Midpoint coordinates = (-7/2,8)
8. Midpoint coordinates = (0,-6)
9. Midpoint coordinates = (-3,-1/2)
Step-by-step explanation:
Coordinates of the midpoint of a segment is given as:
[tex](\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]
Question 6:
[tex](\frac{5-1}{2}, \frac{8-4}{2})=(\frac{4}{2}, \frac{4}{2})\\ \\= (2,2)[/tex]
Question 7:
[tex](\frac{-5-2}{2}, \frac{9+7}{2})=(\frac{-7}{2},\frac{16}{2})\\ \\= (\frac{-7}{2},8)[/tex]
Question 8:
[tex](\frac{-3+3}{2}, \frac{-7-5}{2})=(\frac{0}{2},\frac{-12}{2})\\ \\= (0,-6)[/tex]
Question 9:
[tex](\frac{2-8}{2}, \frac{-6+5}{2})=(\frac{-6}{2},\frac{-1}{2})\\ \\= (-3,-\frac{1}{2})[/tex]