Answer:
([tex]\frac{1}{2}[/tex], [tex]\frac{-1}{2}[/tex])
Step-by-step explanation:
Use the midpoint formula to solve.
1) Given 2 points: ([tex]x_{1}[/tex], [tex]y_1[/tex]) and ([tex]x_2[/tex], [tex]y_2[/tex])
The midpoint formula would be ([tex]\frac{x_1+x_2}{2}[/tex], [tex]\frac{y_1+y_2}{2}[/tex]).
2) Based on this, we can easily find the midpoint of AB.
- -3 would be [tex]x_1\\[/tex]
- -5 would be [tex]y_1[/tex]
- 4 would be [tex]x_2[/tex]
- the next 4 would be [tex]y_2[/tex]
3) With this information, we can solve for the midpoint.
([tex]\frac{-3+4}{2}[/tex], [tex]\frac{-5+4}{2}[/tex]) --> ([tex]\frac{1}{2}[/tex], [tex]\frac{-1}{2}[/tex]) --> This is your answer.
