Question

Which equation set up would we use to find the point that bisects segment JK if J is located at (5,7) and K is located at (3,9)

Answer 1

We can use the middle point equation:

`\begin{gathered} Mp=(xm,ym) \\ where\colon \\ xm=(x1+x2)/(2) \\ ym=(y1+y2)/(2) \end{gathered}`

Let:

`\begin{gathered} J=(x1,y1)=(5,7) \\ K=(x2,y2)=(3,9) \end{gathered}`

so:

`\begin{gathered} xm=(5+3)/(2)=(8)/(2)=4 \\ ym=(7+9)/(2)=(16)/(2)=8 \end{gathered}`

Therefore, the middle point is:

`Mp=(xm,ym)=(4,8)`