Solve the problem.
-If (-7, -3) is the endpoint of a line segment, and (-3, -5) is its midpoint, find the other endpoint.
A) (-11, 5)
B) (-15, 1)
C) (1, -7)
D) (1, -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, -5) and one endpoint (-7, -3), we can find the other endpoint by solving the equations: $\frac{-7 + x_2}{2} = -3$ and $\frac{-3 + y_2}{2} = -5$. Solving these gives $x_2 = 1$ and $y_2 = -7$, making the other endpoint (1, -7).

Solve the Problem. -If (-7, -3) Is the Endpoint of a Line Segment