Solve the problem.
-If (1, -4) is the endpoint of a line segment, and (3, 1) is its midpoint, find the other endpoint.
A) (11, 0)
B) (5, 6)
C) (5, -9)
D) (-3, -14)

Question

Quizplus · Accepted Answer

The midpoint formula is $\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$. Given the midpoint (3, 1) and one endpoint (1, -4), we can find the other endpoint by solving the equations $3 = \frac{1 + x_2}{2}$ and $1 = \frac{-4 + y_2}{2}$. Solving these gives $x_2 = 5$ and $y_2 = 6$, making the other endpoint (5, 6).

Solve the Problem. -If (1, -4) Is the Endpoint of a Line Segment