Question

Is it possible to find the midpoint of a line?

Answer 1

If a line has two endpoints (x1, y1) and (x2, y2), then its midpoint (x, y) is

`\begin{gathered} x=(x_1+x_2)/(2) \\ y=(y_1+y_2)/(2) \end{gathered}`

If the endpoints of a line are (2, 3), and (4, -1), then

x1 = 2 and x2 = 4

y1 = 3 and y2 = -1

Substitute them in the rule above to find the midpoint (x, y)

`\begin{gathered} x=(2+4)/(2) \\ x=(6)/(2) \\ x=3 \\ y=(3+(-1))/(2) \\ y=(3-1)/(2) \\ y=(2)/(2) \\ y=1 \\ (x,y)=(3,1) \end{gathered}`

The midpoint of the given line is (3, 1)