Question

A line segment has endpoints (-14/3, -2/3) and (-22/3, -10/3). What is the midpoint of the line segment?A. (-6,-2)B. (-4,-4)C. (-8/3, -16/3)D. (-4/3,-4/3)

Answer 1

Given:

A line segment has endpoints (-14/3, -2/3) and (-22/3, -10/3).

The midpoint of the line segment is,

`\begin{gathered} M=((x_1+x_2)/(2),(y_1+y_2)/(2)) \\ (x_1,y_1)=(-(14)/(3),-(2)/(3)) \\ (x_2,y_2)=(-(22)/(3),-(10)/(3)) \\ M=((-(14)/(3)-(22)/(3))/(2),(-(2)/(3)-(10)/(3))/(2)) \\ M=(-(36)/(6),-(12)/(6)) \\ M=(-6,-2) \end{gathered}`

Answer: option a) (-6,-2)