Question

if the other midpoint of a line segment is (3,5) and one endpoint is (-1,-2), what is the other endpoint?

Answer 1

the midpoint of the line is (3,5)

one endpoint is (-1, -2)

now for another point,

let the other point is (x, y)

so by midpoint formula,

`3=(-1+x)/(2)`
`\begin{gathered} 6=-1+x \\ x=6+1 \\ x=7 \end{gathered}`

and

`\begin{gathered} 5=(-2+y)/(2) \\ 10=-2+y \\ y=10+2 \\ y=12 \end{gathered}`

thus, the other point is (7,12)