the midpoint of segment AB = (1, -1/2)
Explanation:
To get the midpoint of the line, we will apply the midpoint formula:
[tex]\text{Midpoint = }\frac{1}{2}(x_1+x_2),\text{ }\frac{1}{2}(y_1+y_2)[/tex][tex]\begin{gathered} \text{The points: A (-4, 4) and B (6, -5)} \\ x_1=-4,y_1=4,x_2=6,y_2\text{ = }-5 \\ \\ \text{midpoint = }\frac{1}{2}(-4\text{ + 6), }\frac{1}{2}(4\text{ + (-5))} \end{gathered}[/tex][tex]\begin{gathered} \text{midpoint = }\frac{1}{2}(2\text{), }\frac{1}{2}(-1\text{) = (}\frac{2}{2},\text{ }\frac{-1}{2}) \\ \text{midpoint = (1, -1/2)} \end{gathered}[/tex]
Hence, the midpoint of segment AB = (1, -1/2)
