Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (-2, -6), endpoint (2, -3)
A) (10, 3)
B) (-4, -11)
C) (-6, -9)
D) (-6, 0)

Question

Quizplus · Accepted Answer

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$. Given the midpoint (-2, -6) and one endpoint (2, -3), let the other endpoint be $(x, y)$. Using the midpoint formula: $(-2, -6) = (\frac{2 + x}{2}, \frac{-3 + y}{2})$. Solving these equations gives $x = -6$ and $y = -9$.

Find the Coordinates of the Other Endpoint of the Segment