Question

Find the midpoint of line segment AB.(-1/2, 1)(1, - 1/2)(0, 1/2) (1/2, 1/2)

Answer 1

the midpoint of segment AB = (1, -1/2)

Step-by-step explanation:

To get the midpoint of the line, we will apply the midpoint formula:

`\text{Midpoint = }(1)/(2)(x_1+x_2),\text{ }(1)/(2)(y_1+y_2)`
`\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 = }(1)/(2)(-4\text{ + 6), }(1)/(2)(4\text{ + (-5))} \end{gathered}`
`\begin{gathered} \text{midpoint = }(1)/(2)(2\text{), }(1)/(2)(-1\text{) = (}(2)/(2),\text{ }(-1)/(2)) \\ \text{midpoint = (1, -1/2)} \end{gathered}`

Hence, the midpoint of segment AB = (1, -1/2)