Question

Endpoint (6,4) Midpoint (4,8).What is the other endpoint

Answer 1

The midpoint of two endpoints is the sum of both coordinates divided by 2. Now that we have one endpoint and a midpoint, the other endpoint can be calculated as follows;

A(6, 4), B(x2, y2), Midpoint (4, 8)

`\begin{gathered} \text{Midpoint}=((x2+x1))/(2) \\ 4=((x2+6))/(2) \\ 4*2=x2+6 \\ 8-6=x2 \\ 2=x2 \\ \text{For the other endpoint (y}1) \\ \text{Midpoint}=((y2+4))/(2) \\ 8=((y2+4))/(2) \\ 8*2=y2+4 \\ 16-4=y2 \\ 12=y2 \end{gathered}`

The other endpoint is thus shown as (2, 12)