Solve the problem.
-If (7, -6) is the endpoint of a line segment, and (2, -5) is its midpoint, find the other endpoint.
A) (-3, -4)
B) (9, -16)
C) (-3, -7)
D) (17, -8)

Question

Quizplus · Accepted Answer

The midpoint formula is $\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$. Given the midpoint (2, -5) and one endpoint (7, -6), we can find the other endpoint by setting up equations: $2 = \frac{7 + x_2}{2}$ and $-5 = \frac{-6 + y_2}{2}$. Solving these gives $x_2 = -3$ and $y_2 = -4$, which corresponds to option A.

Solve the Problem. -If (7, -6) Is the Endpoint of a Line Segment