Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint $( - 8 , - 9 )$, endpoint $( - 10 , - 5 )$
A) $( - 6 , - 13 )$
B) $( - 6 , - 1 )$
C) $( - 18 , - 1 )$
D) $( - 14,3 )$

Question

Quizplus · Accepted Answer

The midpoint formula is $\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$. Given the midpoint $(-8, -9)$ and one endpoint $(-10, -5)$, we can find the other endpoint by solving the equations $\frac{-10 + x_2}{2} = -8$ and $\frac{-5 + y_2}{2} = -9$. Solving these gives $x_2 = -6$ and $y_2 = -13$, so the other endpoint is $(-6, -13)$.

Find the Coordinates of the Other Endpoint of the Segment (−8,−9)( - 8 , - 9 )(−8,−9)

Find the Coordinates of the Other Endpoint of the Segment $( - 8 , - 9 )$