Solve the problem.
-If (2, -3)is the endpoint of a line segment, and (3, 1)is its midpoint, find the other endpoint.
A)(4, 5)
B)(4, -7)
C)(0, -11)
D)(10, -1)

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 (2, -3), we can find the other endpoint by setting up equations: $3 = \frac{2 + x_2}{2}$ and $1 = \frac{-3 + y_2}{2}$. Solving these gives $x_2 = 4$ and $y_2 = 5$, so the other endpoint is (4, 5).

Solve the Problem. -If (2, -3)is the Endpoint of a Line Segment, and Line