Solve the problem.
-If (8, -4)is the endpoint of a line segment, and (12, -5)is its midpoint, find the other endpoint.
A)(16, -6)
B)(16, -3)
C)(0, -2)
D)(6, 4)

Question

Quizplus · Accepted Answer

The midpoint formula is $\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$. Given the midpoint (12, -5) and one endpoint (8, -4), we can find the other endpoint by setting up equations: $12 = \frac{8 + x_2}{2}$ and $-5 = \frac{-4 + y_2}{2}$. Solving these gives $x_2 = 16$ and $y_2 = -6$, which corresponds to option A.

Solve the Problem. -If (8, -4)is the Endpoint of a Line Segment, and Line