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

(-3,1)

Step-by-step explanation:

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

The midpoint is obtained using the formula below:

`M(x,y)=((x_1+x_2)/(2),(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)=((-3+(-3))/(2),(4+(-2))/(2)) \\ =((-3-3)/(2),(4-2)/(2)) \\ =((-6)/(2),(2)/(2)) \\ =(-3,1) \end{gathered}`

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