Question

15. Explain the steps in finding the midpoint of the points (-1,2) and (3,-6). Then state what the midpoint is.

Answer 1

The given points are (-1,2) and (3,-6).

We use the midpoint formula

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where,

$\begin{gathered} x_1=-1 \\ x_2=3 \\ y_1=2 \\ y_2=-6 \end{gathered}$

Replacing all these values, we have

$\begin{gathered} M=(\frac{-1+3}{2},\frac{2-6}{2}) \\ M=(\frac{2}{2},\frac{-4}{2}) \\ M=(1,-2) \end{gathered}$

Therefore, the midpoint is (1,-2).