Question

find the midpoint of the segment of (-3,4) and (-3,-2) enter its coordinates as an ordered pair, answer must be in fraction

Answer 1

Answer:

(-3,1)

Explanation:

Given the endpoints of a line segment: (-3,4) and (-3,-2)

The midpoint is obtained using the formula below:

$M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$$\begin{gathered} \mleft(x_1,y_1\mright)=\mleft(-3,4\mright) \\ (x_2,y_2)=\mleft(-3,-2\mright) \end{gathered}$

Substituting the points into M(x,y), we have:

$\begin{gathered} M(x,y)=(\dfrac{-3+(-3)}{2},\dfrac{4+(-2)}{2}) \\ =(\dfrac{-3-3}{2},\dfrac{4-2}{2}) \\ =(\dfrac{-6}{2},\dfrac{2}{2}) \\ =(-3,1) \end{gathered}$

The midpoint of the segment is (-3, 1).